45520524672100 has 81 divisors (see below), whose sum is σ = 99068068467193. Its totient is φ = 18155179313440.

The previous prime is 45520524672059. The next prime is 45520524672157. The reversal of 45520524672100 is 127642502554.

The square root of 45520524672100 is 6746890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16387388881956 + 29133135790144 = 4048134^2 + 5397512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29888721939 + ... + 29888723461.

Almost surely, 2^{45520524672100} is an apocalyptic number.

45520524672100 is the 6746890-th square number.

It is an amenable number.

45520524672100 is an abundant number, since it is smaller than the sum of its proper divisors (53547543795093).

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

45520524672100 is an frugal number, since it uses more digits than its factorization.

45520524672100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 43.

The spelling of 45520524672100 in words is "forty-five trillion, five hundred twenty billion, five hundred twenty-four million, six hundred seventy-two thousand, one hundred".