45637776900 has 81 divisors (see below), whose sum is σ = 143069167423. Its totient is φ = 12168364800.

The previous prime is 45637776893. The next prime is 45637776923. The reversal of 45637776900 is 967773654.

The square root of 45637776900 is 213630.

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

45637776900 is a `hidden beast` number, since 4 + 563 + 7 + 7 + 76 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22404701124 + 23233075776 = 149682^2 + 152424^2 .

It is a super-2 number, since 2×45637776900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 6405340 + ... + 6412460.

Almost surely, 2^45637776900 is an apocalyptic number.

45637776900 is the 213630-th square number.

It is an amenable number.

45637776900 is an abundant number, since it is smaller than the sum of its proper divisors (97431390523).

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

45637776900 is an equidigital number, since it uses as much as digits as its factorization.

45637776900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14262 (or 7131 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 45637776900 in words is "forty-five billion, six hundred thirty-seven million, seven hundred seventy-six thousand, nine hundred".