99932438529 has 288 divisors, whose sum is σ = 206743694976. Its totient is φ = 47499540480.

The previous prime is 99932438477. The next prime is 99932438531. The reversal of 99932438529 is 92583423999.

99932438529 is a `hidden beast` number, since 99 + 93 + 2 + 438 + 5 + 29 = 666.

It is not a de Polignac number, because 99932438529 - 2¹¹ = 99932436481 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (99932438539) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 82383927 + ... + 82385139.

It is an arithmetic number, because the mean of its divisors is an integer number (717860052).

It is a Proth number, since it is equal to 95303 ⋅ 2²⁰ + 1 and 95303 < 2²⁰.

Almost surely, 2^99932438529 is an apocalyptic number.

99932438529 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

99932438529 is an abundant number, since it is smaller than the sum of its proper divisors (106811256447).

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

99932438529 is a wasteful number, since it uses less digits than its factorization.

99932438529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1288 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 99932438529 in words is "ninety-nine billion, nine hundred thirty-two million, four hundred thirty-eight thousand, five hundred twenty-nine".