Digital synthesis - Chile game

Digital Merge is a very magical creative game. Players play games by placing digital squares. The same number of squares will be merged into the number of this number + 1. With wisdom and skill, they can synthesize larger numbers.
Quietly tell you, the number is not infinite, can you merge it into the largest number?
When you get to the full chessboard, declare the game over, look at your score, and share your high score with your friends in the way you like, and try to find out who is the number one.