It used to be possible to go to this link <Archived Flash Player versions> and download the full version of Flash Player. (I like to store the latest version of Flash Player just in case.)
I see that v. 18.104.22.168 (IE) and 22.214.171.124 (Non-IE) are out but the archive does not have them. Has Adobe stopped posting them?
PS: I am fully aware that I can update my Flash Player version by going here <Adobe - Install a different version of Adobe Flash Player>!