46625764900 has 243 divisors, whose sum is σ = 121227715539. Its totient is φ = 15546960000.

The previous prime is 46625764883. The next prime is 46625764919. The reversal of 46625764900 is 946752664.

The square root of 46625764900 is 215930.

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

46625764900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12017859876 + 34607905024 = 109626^2 + 186032^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 308779825 + ... + 308779975.

Almost surely, 2^46625764900 is an apocalyptic number.

46625764900 is the 215930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46625764900

46625764900 is an abundant number, since it is smaller than the sum of its proper divisors (74601950639).

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

46625764900 is a wasteful number, since it uses less digits than its factorization.

46625764900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 46625764900 by its sum of digits (49), we get a square (2284662480100 = 1511510²).

The spelling of 46625764900 in words is "forty-six billion, six hundred twenty-five million, seven hundred sixty-four thousand, nine hundred".