45674528656 has 75 divisors (see below), whose sum is σ = 93441935473. Its totient is φ = 21628059200.

The previous prime is 45674528623. The next prime is 45674528687. The reversal of 45674528656 is 65682547654.

The square root of 45674528656 is 213716.

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., 43883546256 + 1790982400 = 209484^2 + 42320^2 .

It is a Duffinian number.

Its product of digits (48384000) is a multiple of the sum of its prime divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 45674528656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 452223006 + ... + 452223106.

Almost surely, 2^45674528656 is an apocalyptic number.

45674528656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

45674528656 is the 213716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45674528656

45674528656 is an abundant number, since it is smaller than the sum of its proper divisors (47767406817).

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

45674528656 is an frugal number, since it uses more digits than its factorization.

45674528656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 126 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 58.

The spelling of 45674528656 in words is "forty-five billion, six hundred seventy-four million, five hundred twenty-eight thousand, six hundred fifty-six".