125644592664 has 192 divisors, whose sum is σ = 371347200000. Its totient is φ = 39354518016.

The previous prime is 125644592639. The next prime is 125644592693. The reversal of 125644592664 is 466295446521.

125644592664 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 44 + 592 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 125644592664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52372537 + ... + 52374935.

It is an arithmetic number, because the mean of its divisors is an integer number (1934100000).

Almost surely, 2^125644592664 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 125644592664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185673600000).

125644592664 is an abundant number, since it is smaller than the sum of its proper divisors (245702607336).

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

125644592664 is a wasteful number, since it uses less digits than its factorization.

125644592664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3260 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 125644592664 in words is "one hundred twenty-five billion, six hundred forty-four million, five hundred ninety-two thousand, six hundred sixty-four".