125704313856 has 352 divisors, whose sum is σ = 417132092160. Its totient is φ = 37059379200.

The previous prime is 125704313821. The next prime is 125704313881. The reversal of 125704313856 is 658313407521.

It is a happy number.

125704313856 is a `hidden beast` number, since 1 + 2 + 570 + 43 + 1 + 38 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11247151 + ... + 11258321.

Almost surely, 2^125704313856 is an apocalyptic number.

125704313856 is a gapful number since it is divisible by the number (16) 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 125704313856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208566046080).

125704313856 is an abundant number, since it is smaller than the sum of its proper divisors (291427778304).

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

125704313856 is a wasteful number, since it uses less digits than its factorization.

125704313856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11248 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 125704313856 in words is "one hundred twenty-five billion, seven hundred four million, three hundred thirteen thousand, eight hundred fifty-six".