45312864 has 48 divisors (see below), whose sum is σ = 122170608. Its totient is φ = 14694912.

The previous prime is 45312857. The next prime is 45312881. The reversal of 45312864 is 46821354.

45312864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2827 + ... + 9930.

It is an arithmetic number, because the mean of its divisors is an integer number (2545221).

Almost surely, 2^45312864 is an apocalyptic number.

It is an amenable number.

45312864 is an abundant number, since it is smaller than the sum of its proper divisors (76857744).

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

45312864 is a wasteful number, since it uses less digits than its factorization.

45312864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12807 (or 12799 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 45312864 is about 6731.4830461051. The cubic root of 45312864 is about 356.5117414124.

The spelling of 45312864 in words is "forty-five million, three hundred twelve thousand, eight hundred sixty-four".