45957069376 has 63 divisors (see below), whose sum is σ = 92357496387. Its totient is φ = 22689555840.

The previous prime is 45957069349. The next prime is 45957069397. The reversal of 45957069376 is 67396075954.

The square root of 45957069376 is 214376.

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

It is a super-2 number, since 2×45957069376² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 217805911 + ... + 217806121.

Almost surely, 2^45957069376 is an apocalyptic number.

45957069376 is the 214376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45957069376

45957069376 is an abundant number, since it is smaller than the sum of its proper divisors (46400427011).

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

45957069376 is an frugal number, since it uses more digits than its factorization.

45957069376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 61.

Subtracting from 45957069376 its product of nonzero digits (42865200), we obtain a square (45914204176 = 214276²).

The spelling of 45957069376 in words is "forty-five billion, nine hundred fifty-seven million, sixty-nine thousand, three hundred seventy-six".