329138992000 has 384 divisors, whose sum is σ = 1012757428800. Its totient is φ = 104161075200.

The previous prime is 329138991971. The next prime is 329138992027. The reversal of 329138992000 is 299831923.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18919306 + ... + 18936694.

Almost surely, 2^329138992000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329138992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506378714400).

329138992000 is an abundant number, since it is smaller than the sum of its proper divisors (683618436800).

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

329138992000 is a wasteful number, since it uses less digits than its factorization.

329138992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17451 (or 17416 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The spelling of 329138992000 in words is "three hundred twenty-nine billion, one hundred thirty-eight million, nine hundred ninety-two thousand".