How many people have multiple houses?

[Scenic]

As someone who wants to eventually own a house, this makes me sad.
I don't understand why there isn't a limit on the amount of properties you can own.
It is very discouraging to new players if people who are sitting on large amounts of gil can just buy up every house that becomes available.

*edit: Just wanted to add that there is a limit but it's per a character not per account. Thanks for clearing that up.