329439265024 has 81 divisors (see below), whose sum is σ = 681600158967. Its totient is φ = 158911076352.

The previous prime is 329439265019. The next prime is 329439265031. The reversal of 329439265024 is 420562934923.

The square root of 329439265024 is 573968.

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

It can be written as a sum of positive squares in 4 ways, for example, as 27343929600 + 302095335424 = 165360^2 + 549632^2 .

It is a Duffinian number.

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, 266320534 + ... + 266321770.

Almost surely, 2^329439265024 is an apocalyptic number.

329439265024 is the 573968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329439265024

329439265024 is an abundant number, since it is smaller than the sum of its proper divisors (352160893943).

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

329439265024 is an frugal number, since it uses more digits than its factorization.

329439265024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 49.

Multiplying 329439265024 by its sum of digits (49), we get a square (16142523986176 = 4017776²).

The spelling of 329439265024 in words is "three hundred twenty-nine billion, four hundred thirty-nine million, two hundred sixty-five thousand, twenty-four".