328086168256 has 336 divisors, whose sum is σ = 877993639488. Its totient is φ = 118634250240.

The previous prime is 328086168199. The next prime is 328086168301. The reversal of 328086168256 is 652861680823.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 328086168197 and 328086168206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67269690 + ... + 67274566.

It is an arithmetic number, because the mean of its divisors is an integer number (2613076308).

Almost surely, 2^328086168256 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 328086168256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438996819744).

328086168256 is an abundant number, since it is smaller than the sum of its proper divisors (549907471232).

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

328086168256 is a wasteful number, since it uses less digits than its factorization.

328086168256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 328086168256 in words is "three hundred twenty-eight billion, eighty-six million, one hundred sixty-eight thousand, two hundred fifty-six".