99225916416 has 396 divisors, whose sum is σ = 318406256532. Its totient is φ = 29736960000.

The previous prime is 99225916397. The next prime is 99225916429. The reversal of 99225916416 is 61461952299.

99225916416 is a `hidden beast` number, since 9 + 9 + 2 + 2 + 591 + 6 + 41 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61060386816 + 38165529600 = 247104^2 + 195360^2 .

It is a tau number, because it is divible by the number of its divisors (396).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112628296 + ... + 112629176.

Almost surely, 2^99225916416 is an apocalyptic number.

99225916416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99225916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159203128266).

99225916416 is an abundant number, since it is smaller than the sum of its proper divisors (219180340116).

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

99225916416 is a wasteful number, since it uses less digits than its factorization.

99225916416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 998 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The spelling of 99225916416 in words is "ninety-nine billion, two hundred twenty-five million, nine hundred sixteen thousand, four hundred sixteen".