329808112128 has 1200 divisors, whose sum is σ = 1214721199296. Its totient is φ = 87880826880.

The previous prime is 329808112103. The next prime is 329808112147. The reversal of 329808112128 is 821211808923.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7669956075 + ... + 7669956117.

Almost surely, 2^329808112128 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 329808112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607360599648).

329808112128 is an abundant number, since it is smaller than the sum of its proper divisors (884913087168).

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

329808112128 is a wasteful number, since it uses less digits than its factorization.

329808112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 329808112128 in words is "three hundred twenty-nine billion, eight hundred eight million, one hundred twelve thousand, one hundred twenty-eight".