328315480416 has 576 divisors, whose sum is σ = 1224300220416. Its totient is φ = 84064780800.

The previous prime is 328315480387. The next prime is 328315480469. The reversal of 328315480416 is 614084513823.

328315480416 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 154 + 80 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42507531 + ... + 42515253.

It is an arithmetic number, because the mean of its divisors is an integer number (2125521216).

Almost surely, 2^328315480416 is an apocalyptic number.

328315480416 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 328315480416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612150110208).

328315480416 is an abundant number, since it is smaller than the sum of its proper divisors (895984740000).

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

328315480416 is a wasteful number, since it uses less digits than its factorization.

328315480416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7837 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 328315480416 in words is "three hundred twenty-eight billion, three hundred fifteen million, four hundred eighty thousand, four hundred sixteen".