45625013600 has 72 divisors (see below), whose sum is σ = 111417087600. Its totient is φ = 18244267520.

The previous prime is 45625013513. The next prime is 45625013611. The reversal of 45625013600 is 631052654.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 3299501 + ... + 3313299.

It is an arithmetic number, because the mean of its divisors is an integer number (1547459550).

Almost surely, 2^45625013600 is an apocalyptic number.

45625013600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45625013600 is an abundant number, since it is smaller than the sum of its proper divisors (65792074000).

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

45625013600 is a wasteful number, since it uses less digits than its factorization.

45625013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17952 (or 17939 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 45625013600 in words is "forty-five billion, six hundred twenty-five million, thirteen thousand, six hundred".