22914521309232 has 640 divisors, whose sum is σ = 84797544038400. Its totient is φ = 5772399012864.

The previous prime is 22914521309221. The next prime is 22914521309233. The reversal of 22914521309232 is 23290312541922.

22914521309232 is a `hidden beast` number, since 2 + 2 + 9 + 1 + 4 + 521 + 3 + 0 + 92 + 32 = 666.

It is a super-2 number, since 2×22914521309232² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22914521309233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48660733 + ... + 49129379.

It is an arithmetic number, because the mean of its divisors is an integer number (132496162560).

Almost surely, 2^{22914521309232} 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 22914521309232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42398772019200).

22914521309232 is an abundant number, since it is smaller than the sum of its proper divisors (61883022729168).

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

22914521309232 is a wasteful number, since it uses less digits than its factorization.

22914521309232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468750 (or 468738 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 22914521309232 in words is "twenty-two trillion, nine hundred fourteen billion, five hundred twenty-one million, three hundred nine thousand, two hundred thirty-two".