329998612104 has 192 divisors, whose sum is σ = 1046077718400. Its totient is φ = 92013401088.

The previous prime is 329998612001. The next prime is 329998612187. The reversal of 329998612104 is 401216899923.

329998612104 is a `hidden beast` number, since 3 + 2 + 9 + 9 + 9 + 8 + 612 + 10 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27929302 + ... + 27941114.

It is an arithmetic number, because the mean of its divisors is an integer number (5448321450).

Almost surely, 2^329998612104 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 329998612104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523038859200).

329998612104 is an abundant number, since it is smaller than the sum of its proper divisors (716079106296).

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

329998612104 is a wasteful number, since it uses less digits than its factorization.

329998612104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164 (or 13157 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 329998612104 in words is "three hundred twenty-nine billion, nine hundred ninety-eight million, six hundred twelve thousand, one hundred four".