328513996512 has 480 divisors, whose sum is σ = 1127378764512. Its totient is φ = 92915859456.

The previous prime is 328513996493. The next prime is 328513996513. The reversal of 328513996512 is 215699315823.

328513996512 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 1 + 39 + 96 + 512 = 666.

It is a super-2 number, since 2×328513996512² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328513996513) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24625108 + ... + 24638444.

Almost surely, 2^328513996512 is an apocalyptic number.

328513996512 is a gapful number since it is divisible by the number (32) 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 328513996512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563689382256).

328513996512 is an abundant number, since it is smaller than the sum of its proper divisors (798864768000).

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

328513996512 is a wasteful number, since it uses less digits than its factorization.

328513996512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13432 (or 13415 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 328513996512 in words is "three hundred twenty-eight billion, five hundred thirteen million, nine hundred ninety-six thousand, five hundred twelve".