99249905664 has 448 divisors, whose sum is σ = 361988282880. Its totient is φ = 26170490880.

The previous prime is 99249905641. The next prime is 99249905717. The reversal of 99249905664 is 46650994299.

99249905664 is a `hidden beast` number, since 9 + 92 + 499 + 0 + 56 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20125279 + ... + 20130209.

It is an arithmetic number, because the mean of its divisors is an integer number (808009560).

Almost surely, 2^99249905664 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 99249905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180994141440).

99249905664 is an abundant number, since it is smaller than the sum of its proper divisors (262738377216).

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

99249905664 is a wasteful number, since it uses less digits than its factorization.

99249905664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986 (or 4956 counting only the distinct ones).

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

The spelling of 99249905664 in words is "ninety-nine billion, two hundred forty-nine million, nine hundred five thousand, six hundred sixty-four".