125613690624 has 432 divisors, whose sum is σ = 385400288000. Its totient is φ = 40794513408.

The previous prime is 125613690623. The next prime is 125613690641. The reversal of 125613690624 is 426096316521.

125613690624 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 13 + 6 + 9 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 125613690624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125613690623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631224477 + ... + 631224675.

Almost surely, 2^125613690624 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 125613690624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192700144000).

125613690624 is an abundant number, since it is smaller than the sum of its proper divisors (259786597376).

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

125613690624 is an equidigital number, since it uses as much as digits as its factorization.

125613690624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 125613690624 in words is "one hundred twenty-five billion, six hundred thirteen million, six hundred ninety thousand, six hundred twenty-four".