99832375340352 has 280 divisors, whose sum is σ = 305115431158824. Its totient is φ = 32252067053568.

The previous prime is 99832375340297. The next prime is 99832375340353. The reversal of 99832375340352 is 25304357323899.

99832375340352 is a `hidden beast` number, since 9 + 9 + 8 + 3 + 237 + 5 + 3 + 40 + 352 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60216730883136 + 39615644457216 = 7759944^2 + 6294096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 99832375340352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99832375340353) 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 39 ways as a sum of consecutive naturals, for example, 48282048 + ... + 50307264.

Almost surely, 2^{99832375340352} 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 99832375340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152557715579412).

99832375340352 is an abundant number, since it is smaller than the sum of its proper divisors (205283055818472).

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

99832375340352 is a wasteful number, since it uses less digits than its factorization.

99832375340352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025535 (or 2025516 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 99832375340352 in words is "ninety-nine trillion, eight hundred thirty-two billion, three hundred seventy-five million, three hundred forty thousand, three hundred fifty-two".