99225467915904 has 384 divisors, whose sum is σ = 312201140771520. Its totient is φ = 29999657041920.

The previous prime is 99225467915879. The next prime is 99225467915911. The reversal of 99225467915904 is 40951976452299.

99225467915904 is a `hidden beast` number, since 9 + 9 + 2 + 2 + 5 + 467 + 9 + 159 + 0 + 4 = 666.

99225467915904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×99225467915904² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 13794722932 + ... + 13794730124.

Almost surely, 2^{99225467915904} 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 99225467915904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156100570385760).

99225467915904 is an abundant number, since it is smaller than the sum of its proper divisors (212975672855616).

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

99225467915904 is a wasteful number, since it uses less digits than its factorization.

99225467915904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9560 (or 9545 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 99225467915904 in words is "ninety-nine trillion, two hundred twenty-five billion, four hundred sixty-seven million, nine hundred fifteen thousand, nine hundred four".