Numbered corporations are automatically assigned a number by Alberta Corporate Registry. The legal element of a numbered corporation (Ltd., Inc., or Corp.) can be chosen by the incorporator. An example of a numbered company is 123456 Alberta Ltd. They are no different than named corporations in terms of their legal effect, rights, etc.
In most cases, numbered corporations are not used by businesses that have ongoing business operations, as a numbered name is not ideal from a branding perspective.
If you choose a numbered corporation, you can change the name at a later date, however, this will requiring filing Articles of Amendment, which will come at an additional cost (currently $250-$450 if done through our office).