To access remotely a MySQL server you will need both the host and the port number to uniquely identify the service you need. By default the port is set to 3306 for MySQL servers. The host or host IP address I think you know from the information you provided below.
Using the mysql command line application what you need to do is
mysql -h hostname -P portnumber -u username -p
Where hostname is either a name or an IP address and portnumber is the port on which the server resides (by default 3306).