99328953443328 has 2112 divisors, whose sum is σ = 365847176448000. Its totient is φ = 25319488094208.

The previous prime is 99328953443311. The next prime is 99328953443413. The reversal of 99328953443328 is 82334435982399.

99328953443328 is a `hidden beast` number, since 9 + 9 + 3 + 2 + 89 + 534 + 4 + 3 + 3 + 2 + 8 = 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, 426304521100 + ... + 426304521332.

Almost surely, 2^{99328953443328} 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 99328953443328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182923588224000).

99328953443328 is an abundant number, since it is smaller than the sum of its proper divisors (266518223004672).

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

99328953443328 is a wasteful number, since it uses less digits than its factorization.

99328953443328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 539 counting only the distinct ones).

The product of its digits is 1209323520, while the sum is 72.

The spelling of 99328953443328 in words is "ninety-nine trillion, three hundred twenty-eight billion, nine hundred fifty-three million, four hundred forty-three thousand, three hundred twenty-eight".