329179882564 has 27 divisors (see below), whose sum is σ = 623814407517. Its totient is φ = 151922291664.

The previous prime is 329179882553. The next prime is 329179882609. The reversal of 329179882564 is 465288971923.

The square root of 329179882564 is 573742.

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., 48695248900 + 280484633664 = 220670^2 + 529608^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 329179882496 and 329179882505.

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, 14906259 + ... + 14928325.

Almost surely, 2^329179882564 is an apocalyptic number.

329179882564 is the 573742-nd square number.

It is an amenable number.

329179882564 is a deficient number, since it is larger than the sum of its proper divisors (294634524953).

329179882564 is an frugal number, since it uses more digits than its factorization.

329179882564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44164 (or 22082 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 64.

Multiplying 329179882564 by its sum of digits (64), we get a square (21067512484096 = 4589936²).

The spelling of 329179882564 in words is "three hundred twenty-nine billion, one hundred seventy-nine million, eight hundred eighty-two thousand, five hundred sixty-four".