This is a website dedicated to the most famous and possibly the most useful irrational number. It may not be the largest number, (little more than 3), but its digits are endless.
How many digits of Pi do you know?
This is the Rhind Papyrus, it shows a value of Pi dating from as far back as 1650 BC.
picture taken from http://www-gap.dcs.st-and.ac.uk/~history/Diagrams/Rhind_papyrus.jpeg