The 604462909807314587353088 tile in 2048

Excuse me, the highest tile that you will across with is 131,072 tile on a 4x4 grid and I would doubt any tiles to remain higher than that because if you run out of space the game will end. And a maximum score isn't likely to exceed 3,932,160 points, so I recommend you to use a 5x5 grid in order to see a 262,144 because this cannot be spawned on a 4x4 grid without hacking or using any cheats, but the lowest should start with a 2 or 4, but it would be more likely even impossible to expect 262,144 tile to be seen on 4x4 without getting game over. But if you spawn it on a 4x4 grid, then you be the luckiest candidate for that responsibility but will not exceed a possible score of 8,388,608 points, but more likely will run out of space around 7,864,320 points little bit short of 8 million because 8 will be the last spawning number even a 4 wouldn't be spawned without getting game over.

The length of spawning a 131,072 tile will take about 18 hours and a few extra minutes before the 4 becomes the last number after 36 hours, if 262,144 tile is ever achieved on a 4x4 grid, the length of the time will about 3 days an extra hour to despair and the last spawning number would be an 8 but nothing else could be spawned until you know it. The 5x5 tile is recommended to prevent running out of space because the classic game is a 4x4 grid of the original design game but
for advanced levels 5x5 grid or will achieve it without running out of tile spaces.