99114256800 has 1008 divisors, whose sum is σ = 414203411160. Its totient is φ = 22932357120.

The previous prime is 99114256757. The next prime is 99114256807. The reversal of 99114256800 is 865241199.

It can be written as a sum of positive squares in 12 ways, for example, as 2166716304 + 96947540496 = 46548^2 + 311364^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (99114256807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 128886816 + ... + 128887584.

Almost surely, 2^99114256800 is an apocalyptic number.

99114256800 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 99114256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207101705580).

99114256800 is an abundant number, since it is smaller than the sum of its proper divisors (315089154360).

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

99114256800 is a wasteful number, since it uses less digits than its factorization.

99114256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

Adding to 99114256800 its reverse (865241199), we get a palindrome (99979497999).

The spelling of 99114256800 in words is "ninety-nine billion, one hundred fourteen million, two hundred fifty-six thousand, eight hundred".