22766671135264 has 72 divisors (see below), whose sum is σ = 52167978434880. Its totient is φ = 9751860832896.

The previous prime is 22766671135177. The next prime is 22766671135283. The reversal of 22766671135264 is 46253117666722.

It is a super-3 number, since 3×22766671135264³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22766671135199 and 22766671135208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1034484 + ... + 6826675.

It is an arithmetic number, because the mean of its divisors is an integer number (724555256040).

Almost surely, 2^{22766671135264} is an apocalyptic number.

It is an amenable number.

22766671135264 is an abundant number, since it is smaller than the sum of its proper divisors (29401307299616).

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

22766671135264 is a wasteful number, since it uses less digits than its factorization.

22766671135264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7863030 (or 7863015 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 58.

The spelling of 22766671135264 in words is "twenty-two trillion, seven hundred sixty-six billion, six hundred seventy-one million, one hundred thirty-five thousand, two hundred sixty-four".