329446821448900 has 81 divisors (see below), whose sum is σ = 716071706303751. Its totient is φ = 131563026017280.

The previous prime is 329446821448867. The next prime is 329446821448919. The reversal of 329446821448900 is 9844128644923.

The square root of 329446821448900 is 18150670.

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 201034229251716 + 128412592197184 = 14178654^2 + 11331928^2 .

It is a super-2 number, since 2×329446821448900² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 155914254244 + ... + 155914256356.

Almost surely, 2^{329446821448900} is an apocalyptic number.

329446821448900 is the 18150670-th square number.

It is an amenable number.

329446821448900 is an abundant number, since it is smaller than the sum of its proper divisors (386624884854851).

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

329446821448900 is an frugal number, since it uses more digits than its factorization.

329446821448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 64.

The spelling of 329446821448900 in words is "three hundred twenty-nine trillion, four hundred forty-six billion, eight hundred twenty-one million, four hundred forty-eight thousand, nine hundred".