125441632656 has 120 divisors (see below), whose sum is σ = 380779550424. Its totient is φ = 38394347520.

The previous prime is 125441632609. The next prime is 125441632699. The reversal of 125441632656 is 656236144521.

125441632656 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 4 + 1 + 632 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21899264256 + 103542368400 = 147984^2 + 321780^2 .

It is a super-2 number, since 2×125441632656² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524541 + ... + 725276.

Almost surely, 2^125441632656 is an apocalyptic number.

125441632656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125441632656 is an abundant number, since it is smaller than the sum of its proper divisors (255337917768).

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

125441632656 is a wasteful number, since it uses less digits than its factorization.

125441632656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249889 (or 1249880 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 125441632656 in words is "one hundred twenty-five billion, four hundred forty-one million, six hundred thirty-two thousand, six hundred fifty-six".