Can human memory be as powerful as a computer? I don't think so... Sure it is more complex and amazing than your hard drive. Maybe even more abstract... Human made the machine to help them to achieve hard tasks but God (or god, as you believe) made human to impress other humans!

Indeed, it is amazing that a `thing' called PI WORLD RANKING LIST ever exists. Today I was shocked when I looked at those numbers:
http://pi-world-ranking-list.com/lists/memo/index.html

Amazing, uh? The rules? a maximum pause of 15 seconds between each digit... No pee, no food, no sleep, nothing. Just the human and its sickness for omniscience (or just fun...?) !
Anyway, there are other rankings like e constant or SQRT(2).

Let's take a look at the #1 of this hilarious ranking: 67890 digits recited in about 24 hours and 4 minutes to without a mistake..! More: it took to the Chinese Chao Lu over one year to learn them all. I have no intentions to beat the record but there are the 67891 first digits of pi:

[Update:] when I pushed the submit button, nothing appeared on this post because of the length of the string, so I let a plain text file with those digits on attachment! ;)