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Thinking of booking a cruise on Royal Caribbean’s new Icon of the Seas? Be prepared for monster crowds.

The world’s largest cruise ship is sailing at stunningly high occupancy levels, a top Royal Caribbean executive revealed Thursday.

Speaking to Wall Street analysts during a conference call to discuss quarterly earnings, Royal Caribbean CEO Michael Bayle said the six-month-old ship averaged a 132% load factor on voyages — meaning its cabins are 132% full.

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That’s a huge number that essentially means every cabin on every sailing ship is currently being occupied by at least two and sometimes three, four or even five people.

By comparison, the average load factor for ships operated by Royal Caribbean Group brands has been running at 108% in recent months, according to data released by the company on Thursday.

Related: Yikes! Is Icon of the Siege really worth that much?

Cruise ships can have occupancy levels above 100% when cabins are filled with more than two people. Most cabins are built for two people, and that is the typical number of people occupying any cabin. But cabins on some ships also have pull-out sofas and pull-down bunks to allow for extra passengers – usually children. When some of them are occupied, it can increase the ship’s reported occupancy number above 100%.

“We’re ecstatic,” Belle said of the sky-high load factor on Icon of the Seas.

Bailey called the ship the most successful ship in the company’s history.

An unusually high load factor for Icon of the Seas means the ship is sailing with a large number of children, who are packed into cabins with their parents rather than in separate rooms.

That would make sense, since Royal Caribbean has marketed the ship as the ultimate family vacation destination. It was built with an unusual amount of family-friendly attractions, including a new-for-the-line outdoor “neighborhood” called Surfside, dedicated to families with young children.

Icon of the Seas also has the largest water park ever on a cruise ship, with a record six decktop waterslides. It also has seven pools and all sorts of other family-friendly attractions, including a rock climbing wall, surfing pool, ice skating rink and sprawling kiddie play area.

In addition, Icon of the Seas has many more cabins with extra bunks to accommodate families with children than previous Royal Caribbean ships.

At 248,663 gross tons, Icon of the Seas is more than 5% larger than the largest cruise ships sailing before her launch, all of which were Royal Caribbean ships.

Icon of the Seas is designed to hold 5,610 passengers at double occupancy – that is, with two people in each cabin. But a load factor of 132% means it actually sails with an average of 7,400 passengers per trip. That’s far more than any other cruise ship that has ever sailed.

Royal Caribbean’s next largest cruise ships, Utopia of the Seas and Wonder of the Seas, can only accommodate about 7,000 passengers with each berth filled, including pull-down bunks and pull-out sofas.

Could the large number of people on Icon of the Seas affect the passenger experience? Bailey suggested that was not the case.

In his comments to Wall Street analysts, he noted that the ship had huge load factors with very high customer satisfaction scores.

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