125622336612864 has 640 divisors, whose sum is σ = 420323797555200. Its totient is φ = 32457646080000.

The previous prime is 125622336612833. The next prime is 125622336612907. The reversal of 125622336612864 is 468216633226521.

It is a super-2 number, since 2×125622336612864² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2140080987 + ... + 2140139685.

It is an arithmetic number, because the mean of its divisors is an integer number (656755933680).

Almost surely, 2^{125622336612864} is an apocalyptic number.

125622336612864 is a gapful number since it is divisible by the number (14) 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 125622336612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210161898777600).

125622336612864 is an abundant number, since it is smaller than the sum of its proper divisors (294701460942336).

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

125622336612864 is a wasteful number, since it uses less digits than its factorization.

125622336612864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59052 (or 59036 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 57.

The spelling of 125622336612864 in words is "one hundred twenty-five trillion, six hundred twenty-two billion, three hundred thirty-six million, six hundred twelve thousand, eight hundred sixty-four".