328201901872768 has 512 divisors, whose sum is σ = 854248138997760. Its totient is φ = 121871070720000.

The previous prime is 328201901872751. The next prime is 328201901872771. The reversal of 328201901872768 is 867278109102823.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21324266353 + ... + 21324281743.

It is an arithmetic number, because the mean of its divisors is an integer number (1668453396480).

Almost surely, 2^{328201901872768} 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 328201901872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427124069498880).

328201901872768 is an abundant number, since it is smaller than the sum of its proper divisors (526046237124992).

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

328201901872768 is a wasteful number, since it uses less digits than its factorization.

328201901872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16508 (or 16496 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 64.

The spelling of 328201901872768 in words is "three hundred twenty-eight trillion, two hundred one billion, nine hundred one million, eight hundred seventy-two thousand, seven hundred sixty-eight".