328667903148816 has 960 divisors, whose sum is σ = 1220057971292160. Its totient is φ = 83167358238720.

The previous prime is 328667903148799. The next prime is 328667903148841. The reversal of 328667903148816 is 618841309766823.

328667903148816 is a `hidden beast` number, since 3 + 2 + 8 + 66 + 79 + 0 + 3 + 1 + 488 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5007629536 + ... + 5007695168.

It is an arithmetic number, because the mean of its divisors is an integer number (1270893720096).

Almost surely, 2^{328667903148816} is an apocalyptic number.

328667903148816 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 328667903148816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610028985646080).

328667903148816 is an abundant number, since it is smaller than the sum of its proper divisors (891390068143344).

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

328667903148816 is a wasteful number, since it uses less digits than its factorization.

328667903148816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66106 (or 66088 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 328667903148816 in words is "three hundred twenty-eight trillion, six hundred sixty-seven billion, nine hundred three million, one hundred forty-eight thousand, eight hundred sixteen".