221136055229712 has 1280 divisors, whose sum is σ = 719230583439360. Its totient is φ = 57196929613824.

The previous prime is 221136055229669. The next prime is 221136055229767. The reversal of 221136055229712 is 217922550631122.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 404270667423 + ... + 404270667969.

It is an arithmetic number, because the mean of its divisors is an integer number (561898893312).

Almost surely, 2^{221136055229712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221136055229712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359615291719680).

221136055229712 is an abundant number, since it is smaller than the sum of its proper divisors (498094528209648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221136055229712 is a wasteful number, since it uses less digits than its factorization.

221136055229712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 221136055229712 in words is "two hundred twenty-one trillion, one hundred thirty-six billion, fifty-five million, two hundred twenty-nine thousand, seven hundred twelve".