328138122816 has 560 divisors, whose sum is σ = 1171137510400. Its totient is φ = 90714193920.

The previous prime is 328138122811. The next prime is 328138122817. The reversal of 328138122816 is 618221831823.

328138122816 is a `hidden beast` number, since 32 + 8 + 1 + 381 + 228 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (328138122811) 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, 55118496 + ... + 55124448.

Almost surely, 2^328138122816 is an apocalyptic number.

328138122816 is a gapful number since it is divisible by the number (36) 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 328138122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585568755200).

328138122816 is an abundant number, since it is smaller than the sum of its proper divisors (842999387584).

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

328138122816 is an equidigital number, since it uses as much as digits as its factorization.

328138122816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6029 (or 5996 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 328138122816 in words is "three hundred twenty-eight billion, one hundred thirty-eight million, one hundred twenty-two thousand, eight hundred sixteen".