329114272320 has 84 divisors (see below), whose sum is σ = 1132015975740. Its totient is φ = 87763805184.

The previous prime is 329114272307. The next prime is 329114272349. The reversal of 329114272320 is 23272411923.

329114272320 is a `hidden beast` number, since 3 + 291 + 1 + 42 + 7 + 2 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35124757056 + 293989515264 = 187416^2 + 542208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57135015 + ... + 57140774.

Almost surely, 2^329114272320 is an apocalyptic number.

329114272320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

329114272320 is an abundant number, since it is smaller than the sum of its proper divisors (802901703420).

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

329114272320 is a wasteful number, since it uses less digits than its factorization.

329114272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114275812 (or 114275799 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 329114272320 in words is "three hundred twenty-nine billion, one hundred fourteen million, two hundred seventy-two thousand, three hundred twenty".