99314859600 has 360 divisors, whose sum is σ = 376529025600. Its totient is φ = 24041318400.

The previous prime is 99314859577. The next prime is 99314859601. The reversal of 99314859600 is 695841399.

99314859600 is a `hidden beast` number, since 9 + 9 + 3 + 1 + 48 + 596 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99314859601) 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 71 ways as a sum of consecutive naturals, for example, 36391036 + ... + 36393764.

It is an arithmetic number, because the mean of its divisors is an integer number (1045913960).

Almost surely, 2^99314859600 is an apocalyptic number.

99314859600 is a gapful number since it is divisible by the number (90) 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 99314859600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188264512800).

99314859600 is an abundant number, since it is smaller than the sum of its proper divisors (277214166000).

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

99314859600 is a wasteful number, since it uses less digits than its factorization.

99314859600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3669 counting only the distinct ones).

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

The spelling of 99314859600 in words is "ninety-nine billion, three hundred fourteen million, eight hundred fifty-nine thousand, six hundred".