328497116062752 has 480 divisors, whose sum is σ = 1197601669756800. Its totient is φ = 86013308547072.

The previous prime is 328497116062751. The next prime is 328497116062763. The reversal of 328497116062752 is 257260611794823.

It is a happy number.

328497116062752 is a `hidden beast` number, since 3 + 2 + 8 + 4 + 9 + 7 + 11 + 606 + 2 + 7 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 328497116062752.

It is not an unprimeable number, because it can be changed into a prime (328497116062751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27776524 + ... + 37795892.

It is an arithmetic number, because the mean of its divisors is an integer number (2495003478660).

It is a 1-persistent number, because it is pandigital, but 2⋅328497116062752 = 656994232125504 is not.

Almost surely, 2^{328497116062752} is an apocalyptic number.

328497116062752 is a gapful number since it is divisible by the number (32) 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 328497116062752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598800834878400).

328497116062752 is an abundant number, since it is smaller than the sum of its proper divisors (869104553694048).

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

328497116062752 is a wasteful number, since it uses less digits than its factorization.

328497116062752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10019550 (or 10019533 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 328497116062752 in words is "three hundred twenty-eight trillion, four hundred ninety-seven billion, one hundred sixteen million, sixty-two thousand, seven hundred fifty-two".