45457651264 has 63 divisors (see below), whose sum is σ = 93524571777. Its totient is φ = 21921193728.

The previous prime is 45457651231. The next prime is 45457651273. The reversal of 45457651264 is 46215675454.

The square root of 45457651264 is 213208.

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

It can be written as a sum of positive squares in only one way, i.e., 23836889664 + 21620761600 = 154392^2 + 147040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49463797 + ... + 49464715.

Almost surely, 2^45457651264 is an apocalyptic number.

45457651264 is the 213208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45457651264

45457651264 is an abundant number, since it is smaller than the sum of its proper divisors (48066920513).

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

45457651264 is an frugal number, since it uses more digits than its factorization.

45457651264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 950 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 49.

Multiplying 45457651264 by its sum of digits (49), we get a square (2227424911936 = 1492456²).

The spelling of 45457651264 in words is "forty-five billion, four hundred fifty-seven million, six hundred fifty-one thousand, two hundred sixty-four".