If you use innodb_file_per_table = 1 and innodb_open_files = X (whatever amount is suitable for your server) there’s no way internal to MySQL for finding out how many IBD files InnoDB actually has open. Neither SHOW GLOBAL STATUS LIKE ‘innodb%’ nor SHOW ENGINE INNODB STATUS provide this information.
Many sites do have a growing number of tables, so you’ll want to know when it’s time to up the number (and potentially also open-files-limit). Solution: sudo lsof | grep -c “\.ibd$”