45317885204736 has 189 divisors, whose sum is σ = 135634782116379. Its totient is φ = 15104992347648.

The previous prime is 45317885204729. The next prime is 45317885204819. The reversal of 45317885204736 is 63740258871354.

It is a happy number.

The square root of 45317885204736 is 6731856.

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

45317885204736 is a `hidden beast` number, since 4 + 5 + 3 + 1 + 78 + 8 + 520 + 4 + 7 + 36 = 666.

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 20 ways as a sum of consecutive naturals, for example, 2908154001 + ... + 2908169583.

Almost surely, 2^{45317885204736} is an apocalyptic number.

45317885204736 is the 6731856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45317885204736

45317885204736 is an abundant number, since it is smaller than the sum of its proper divisors (90316896911643).

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

45317885204736 is an frugal number, since it uses more digits than its factorization.

45317885204736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31200 (or 15588 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 45317885204736 in words is "forty-five trillion, three hundred seventeen billion, eight hundred eighty-five million, two hundred four thousand, seven hundred thirty-six".