22512922143264 has 768 divisors, whose sum is σ = 78715787673600. Its totient is φ = 6124719744000.

The previous prime is 22512922143227. The next prime is 22512922143281. The reversal of 22512922143264 is 46234122921522.

22512922143264 is a `hidden beast` number, since 2 + 2 + 5 + 129 + 221 + 43 + 264 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4547143989 + ... + 4547148939.

It is an arithmetic number, because the mean of its divisors is an integer number (102494515200).

Almost surely, 2^{22512922143264} is an apocalyptic number.

22512922143264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22512922143264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39357893836800).

22512922143264 is an abundant number, since it is smaller than the sum of its proper divisors (56202865530336).

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

22512922143264 is a wasteful number, since it uses less digits than its factorization.

22512922143264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 5380 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 22512922143264 in words is "twenty-two trillion, five hundred twelve billion, nine hundred twenty-two million, one hundred forty-three thousand, two hundred sixty-four".