125574946860672 has 48 divisors (see below), whose sum is σ = 361354990318530. Its totient is φ = 41858315619840.

The previous prime is 125574946860659. The next prime is 125574946860683. The reversal of 125574946860672 is 276068649475521.

125574946860672 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 7 + 4 + 9 + 4 + 6 + 8 + 606 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119032114913856 + 6542831946816 = 10910184^2 + 2557896^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 125574946860672.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54503013979 + ... + 54503016282.

Almost surely, 2^{125574946860672} is an apocalyptic number.

125574946860672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125574946860672 is an abundant number, since it is smaller than the sum of its proper divisors (235780043457858).

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

125574946860672 is a wasteful number, since it uses less digits than its factorization.

125574946860672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109006030281 (or 109006030266 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 125574946860672 in words is "one hundred twenty-five trillion, five hundred seventy-four billion, nine hundred forty-six million, eight hundred sixty thousand, six hundred seventy-two".