Are there any limits to the number of characters in a domain name?

Yes! The maximum number of characters allowed in a domain name is 63. However, that would be an insanely long name to type. Keep in mind that you often have subdomains, which will only add to that length. This is why 2 & 3 character domains, are so highly sought after. So when searching for a name, try to keep it as short as possible.