329938396416 has 90 divisors (see below), whose sum is σ = 983816660442. Its totient is φ = 109979458560.

The previous prime is 329938396391. The next prime is 329938396427. The reversal of 329938396416 is 614693839923.

It can be written as a sum of positive squares in only one way, i.e., 276255360000 + 53683036416 = 525600^2 + 231696^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7934955 + ... + 7976426.

Almost surely, 2^329938396416 is an apocalyptic number.

329938396416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

329938396416 is an abundant number, since it is smaller than the sum of its proper divisors (653878264026).

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

329938396416 is an equidigital number, since it uses as much as digits as its factorization.

329938396416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15911409 (or 15911386 counting only the distinct ones).

The product of its digits is 45349632, while the sum is 63.

The spelling of 329938396416 in words is "three hundred twenty-nine billion, nine hundred thirty-eight million, three hundred ninety-six thousand, four hundred sixteen".