329982227518464 has 264 divisors, whose sum is σ = 1052728239176640. Its totient is φ = 99022798651392.

The previous prime is 329982227518399. The next prime is 329982227518483. The reversal of 329982227518464 is 464815722289923.

329982227518464 is a `hidden beast` number, since 3 + 2 + 9 + 9 + 8 + 22 + 27 + 518 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 329982227518392 and 329982227518401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42183454 + ... + 49390365.

Almost surely, 2^{329982227518464} is an apocalyptic number.

329982227518464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

329982227518464 is an abundant number, since it is smaller than the sum of its proper divisors (722746011658176).

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

329982227518464 is a wasteful number, since it uses less digits than its factorization.

329982227518464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91573885 (or 91573864 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 329982227518464 in words is "three hundred twenty-nine trillion, nine hundred eighty-two billion, two hundred twenty-seven million, five hundred eighteen thousand, four hundred sixty-four".