329398374816 has 384 divisors, whose sum is σ = 1107064143360. Its totient is φ = 93340532736.

The previous prime is 329398374797. The next prime is 329398374827. The reversal of 329398374816 is 618473893923.

329398374816 is a `hidden beast` number, since 32 + 9 + 3 + 98 + 37 + 481 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 591379210 + ... + 591379766.

It is an arithmetic number, because the mean of its divisors is an integer number (2882979540).

Almost surely, 2^329398374816 is an apocalyptic number.

329398374816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329398374816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553532071680).

329398374816 is an abundant number, since it is smaller than the sum of its proper divisors (777665768544).

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

329398374816 is a wasteful number, since it uses less digits than its factorization.

329398374816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1199 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 329398374816 in words is "three hundred twenty-nine billion, three hundred ninety-eight million, three hundred seventy-four thousand, eight hundred sixteen".