125904664116 has 384 divisors, whose sum is σ = 414734745600. Its totient is φ = 32084398080.

The previous prime is 125904664091. The next prime is 125904664129. The reversal of 125904664116 is 611466409521.

125904664116 is a `hidden beast` number, since 1 + 2 + 590 + 4 + 6 + 6 + 41 + 16 = 666.

It is a super-2 number, since 2×125904664116² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102444190 + ... + 102445418.

It is an arithmetic number, because the mean of its divisors is an integer number (1080038400).

Almost surely, 2^125904664116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125904664116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207367372800).

125904664116 is an abundant number, since it is smaller than the sum of its proper divisors (288830081484).

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

125904664116 is a wasteful number, since it uses less digits than its factorization.

125904664116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 125904664116 in words is "one hundred twenty-five billion, nine hundred four million, six hundred sixty-four thousand, one hundred sixteen".