329319890496 has 63 divisors (see below), whose sum is σ = 943975484283. Its totient is φ = 109768705920.

The previous prime is 329319890479. The next prime is 329319890503. The reversal of 329319890496 is 694098913923.

The square root of 329319890496 is 573864.

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

329319890496 is a `hidden beast` number, since 3 + 29 + 31 + 9 + 8 + 90 + 496 = 666.

It is a super-2 number, since 2×329319890496² (a number of 24 digits) contains 22 as substring.

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, 13760781 + ... + 13784691.

Almost surely, 2^329319890496 is an apocalyptic number.

329319890496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

329319890496 is the 573864-th square number.

It is an amenable number.

329319890496 is an abundant number, since it is smaller than the sum of its proper divisors (614655593787).

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

329319890496 is an frugal number, since it uses more digits than its factorization.

329319890496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47840 (or 23916 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 329319890496 in words is "three hundred twenty-nine billion, three hundred nineteen million, eight hundred ninety thousand, four hundred ninety-six".