64125248904 has 48 divisors (see below), whose sum is σ = 173744289420. Its totient is φ = 21366253440.

The previous prime is 64125248893. The next prime is 64125248947. The reversal of 64125248904 is 40984252146.

It is a happy number.

64125248904 is a `hidden beast` number, since 6 + 41 + 2 + 524 + 89 + 0 + 4 = 666.

64125248904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 63126562500 + 998686404 = 251250^2 + 31602^2 .

It is a super-2 number, since 2×64125248904² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64125248904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7267 + ... + 358194.

Almost surely, 2^64125248904 is an apocalyptic number.

It is an amenable number.

64125248904 is an abundant number, since it is smaller than the sum of its proper divisors (109619040516).

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

64125248904 is a wasteful number, since it uses less digits than its factorization.

64125248904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367910 (or 367903 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 64125248904 in words is "sixty-four billion, one hundred twenty-five million, two hundred forty-eight thousand, nine hundred four".