329624116331328 has 1344 divisors, whose sum is σ = 1254500677785600. Its totient is φ = 84036458741760.

The previous prime is 329624116331149. The next prime is 329624116331351. The reversal of 329624116331328 is 823133611426923.

329624116331328 is a `hidden beast` number, since 3 + 2 + 9 + 6 + 241 + 1 + 63 + 313 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 34020442708 + ... + 34020452396.

It is an arithmetic number, because the mean of its divisors is an integer number (933408242400).

Almost surely, 2^{329624116331328} 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 329624116331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627250338892800).

329624116331328 is an abundant number, since it is smaller than the sum of its proper divisors (924876561454272).

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

329624116331328 is a wasteful number, since it uses less digits than its factorization.

329624116331328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10765 (or 10742 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 329624116331328 in words is "three hundred twenty-nine trillion, six hundred twenty-four billion, one hundred sixteen million, three hundred thirty-one thousand, three hundred twenty-eight".