45737810496 has 567 divisors, whose sum is σ = 163390173219. Its totient is φ = 12195380736.

The previous prime is 45737810467. The next prime is 45737810501. The reversal of 45737810496 is 69401873754.

The square root of 45737810496 is 213864.

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

45737810496 is a `hidden beast` number, since 4 + 5 + 73 + 7 + 81 + 0 + 496 = 666.

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, 682653855 + ... + 682653921.

Almost surely, 2^45737810496 is an apocalyptic number.

45737810496 is the 213864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45737810496

45737810496 is an abundant number, since it is smaller than the sum of its proper divisors (117652362723).

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

45737810496 is a wasteful number, since it uses less digits than its factorization.

45737810496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 45737810496 in words is "forty-five billion, seven hundred thirty-seven million, eight hundred ten thousand, four hundred ninety-six".