45432922500 has 675 divisors, whose sum is σ = 173389857641. Its totient is φ = 10026576000.

The previous prime is 45432922489. The next prime is 45432922519. The reversal of 45432922500 is 522923454.

The square root of 45432922500 is 213150.

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

45432922500 is a `hidden beast` number, since 4 + 543 + 2 + 92 + 25 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 33980498244 + 11452424256 = 184338^2 + 107016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1566652486 + ... + 1566652514.

Almost surely, 2^45432922500 is an apocalyptic number.

45432922500 is the 213150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45432922500

45432922500 is an abundant number, since it is smaller than the sum of its proper divisors (127956935141).

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

45432922500 is an equidigital number, since it uses as much as digits as its factorization.

45432922500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 45432922500 by its sum of digits (36), we get a square (1635585210000 = 1278900²).

45432922500 divided by its sum of digits (36) gives a square (1262025625 = 35525²).

The spelling of 45432922500 in words is "forty-five billion, four hundred thirty-two million, nine hundred twenty-two thousand, five hundred".