99922672628352 has 1024 divisors, whose sum is σ = 362385438105600. Its totient is φ = 26457501007872.

The previous prime is 99922672628329. The next prime is 99922672628353. The reversal of 99922672628352 is 25382627622999.

99922672628352 is a `hidden beast` number, since 9 + 9 + 9 + 2 + 2 + 6 + 7 + 262 + 8 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (99922672628353) 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 127 ways as a sum of consecutive naturals, for example, 7348869618 + ... + 7348883214.

It is an arithmetic number, because the mean of its divisors is an integer number (353892029400).

Almost surely, 2^{99922672628352} 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 99922672628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181192719052800).

99922672628352 is an abundant number, since it is smaller than the sum of its proper divisors (262462765477248).

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

99922672628352 is a wasteful number, since it uses less digits than its factorization.

99922672628352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13918 (or 13900 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 99922672628352 in words is "ninety-nine trillion, nine hundred twenty-two billion, six hundred seventy-two million, six hundred twenty-eight thousand, three hundred fifty-two".