22809162852864 has 240 divisors, whose sum is σ = 66761252363520. Its totient is φ = 7495643750400.

The previous prime is 22809162852851. The next prime is 22809162852901. The reversal of 22809162852864 is 46825826190822.

22809162852864 is a `hidden beast` number, since 2 + 2 + 80 + 9 + 1 + 6 + 28 + 528 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246403389 + ... + 246495939.

It is an arithmetic number, because the mean of its divisors is an integer number (278171884848).

Almost surely, 2^{22809162852864} is an apocalyptic number.

22809162852864 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 22809162852864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33380626181760).

22809162852864 is an abundant number, since it is smaller than the sum of its proper divisors (43952089510656).

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

22809162852864 is an equidigital number, since it uses as much as digits as its factorization.

22809162852864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93331 (or 93312 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 22809162852864 in words is "twenty-two trillion, eight hundred nine billion, one hundred sixty-two million, eight hundred fifty-two thousand, eight hundred sixty-four".