I memorised a little over 4000 digits many years ago, back at high school. Sadly it didn't impress the girls as much as I would have liked ![]()
The Australian record is something like ~10k digits if I am remembering correctly. One day I might try to re-learn them and attempt the record.

When I was young I memorised enough to show off a little (can't recall how many, may have been as few as 30). I got the digits from a sci-fi novel because I judged (correctly) that the author would not have put wrong ones in. The question is what novel was it? It is possible it was Time for the Stars, but it could easily have been another I also read as a young teenager.
(Now I only know 14 digits after the decimal point. More than enough for most practical use.)