99904564224 has 264 divisors, whose sum is σ = 307907578368. Its totient is φ = 31089623040.

The previous prime is 99904564213. The next prime is 99904564247. The reversal of 99904564224 is 42246540999.

99904564224 is a `hidden beast` number, since 99 + 90 + 45 + 6 + 422 + 4 = 666.

99904564224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19894834 + ... + 19899854.

Almost surely, 2^99904564224 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 99904564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153953789184).

99904564224 is an abundant number, since it is smaller than the sum of its proper divisors (208003014144).

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

99904564224 is a wasteful number, since it uses less digits than its factorization.

99904564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5191 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

It can be divided in two parts, 99904 and 564224, that added together give a triangular number (664128 = T₁₁₅₂).

The spelling of 99904564224 in words is "ninety-nine billion, nine hundred four million, five hundred sixty-four thousand, two hundred twenty-four".