32945430315721 has 135 divisors (see below), whose sum is σ = 44257907239917. Its totient is φ = 24502564381680.

The previous prime is 32945430315653. The next prime is 32945430315779. The reversal of 32945430315721 is 12751303454923.

The square root of 32945430315721 is 5739811.

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

It is not a de Polignac number, because 32945430315721 - 2⁷ = 32945430315593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (32945430318721) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 71156436736 + ... + 71156437198.

Almost surely, 2^{32945430315721} is an apocalyptic number.

32945430315721 is the 5739811-st square number.

32945430315721 is the 2869906-th centered octagonal number.

It is an amenable number.

32945430315721 is a deficient number, since it is larger than the sum of its proper divisors (11312476924196).

32945430315721 is an frugal number, since it uses more digits than its factorization.

32945430315721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

32945430315721 divided by its sum of digits (49) gives a square (672355720729 = 819973²).

The spelling of 32945430315721 in words is "thirty-two trillion, nine hundred forty-five billion, four hundred thirty million, three hundred fifteen thousand, seven hundred twenty-one".