What is the maximum number of characters, how long (ie. the number of characters) can a backup-file name be?
Windows NTFS has a 255 character limit for a filename and LiteSpeed itself places no further restrictions on this. SQL Server has a restriction of 128 characters in the backup path, NB. this amount also includes the filename itself.
The best way to test this is to create a new text file in Windows Explorer, give it your required file name and then see if Windows accepts it. NB. the file path is counted towards the Operating System's maximum supported number of characters.
Windows has some unsupported characters, eg. " \ " (back-slash). Again, you can test this in a text-file name.
Although NTFS allows each path component (directory or filename) to be 255 characters long and paths up to about 32767 characters long, the Windows kernel only supports paths up to 259 characters long.