He shrugs when Ankh asks that. That's a question he couldn't answer even if he wanted to. He doesn't bother keeping count.

"Only one person might know the exact number, and that would not be me. A number of lost Alices have passed through here and left this place behind; too many to count. Sometimes it is quiet for many years, sometimes they're frequent. It depends on the whims of him."

You know. The Cheshire Cat. Don't make him say his name. He hates him.