45664125 has 128 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 19353600.

The previous prime is 45664121. The next prime is 45664139. The reversal of 45664125 is 52146654.

It is not a de Polignac number, because 45664125 - 2² = 45664121 is a prime.

Its product of digits (28800) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45664121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1574611 + ... + 1574639.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^45664125 is an apocalyptic number.

It is an amenable number.

45664125 is an abundant number, since it is smaller than the sum of its proper divisors (48684675).

45664125 is a wasteful number, since it uses less digits than its factorization.

45664125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 45664125 is about 6757.5235848645. The cubic root of 45664125 is about 357.4305862265.

The spelling of 45664125 in words is "forty-five million, six hundred sixty-four thousand, one hundred twenty-five".