329668892224 has 63 divisors (see below), whose sum is σ = 761066929857. Its totient is φ = 141272888064.

The previous prime is 329668892219. The next prime is 329668892303. The reversal of 329668892224 is 422298866923.

The square root of 329668892224 is 574168.

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., 38966760000 + 290702132224 = 197400^2 + 539168^2 .

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, 32148282 + ... + 32158534.

Almost surely, 2^329668892224 is an apocalyptic number.

329668892224 is the 574168-th square number.

It is an amenable number.

329668892224 is an abundant number, since it is smaller than the sum of its proper divisors (431398037633).

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

329668892224 is an frugal number, since it uses more digits than its factorization.

329668892224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20532 (or 10262 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 61.

The spelling of 329668892224 in words is "three hundred twenty-nine billion, six hundred sixty-eight million, eight hundred ninety-two thousand, two hundred twenty-four".