45558864 has 60 divisors (see below), whose sum is σ = 137314996. Its totient is φ = 14017536.

The previous prime is 45558841. The next prime is 45558869. The reversal of 45558864 is 46885554.

45558864 is a `hidden beast` number, since 4 + 5 + 5 + 588 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31270464 + 14288400 = 5592^2 + 3780^2 .

It is a super-4 number, since 4×45558864⁴ (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45558869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10297 + ... + 14040.

Almost surely, 2^45558864 is an apocalyptic number.

It is an amenable number.

45558864 is an abundant number, since it is smaller than the sum of its proper divisors (91756132).

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

45558864 is a wasteful number, since it uses less digits than its factorization.

45558864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24364 (or 24355 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 45558864 is about 6749.7306612931. The cubic root of 45558864 is about 357.1557355508.

It can be divided in two parts, 455 and 58864, that added together give a cube (59319 = 39³).

The spelling of 45558864 in words is "forty-five million, five hundred fifty-eight thousand, eight hundred sixty-four".