9914292808200 has 864 divisors, whose sum is σ = 40086981534600. Its totient is φ = 2184058060800.

The previous prime is 9914292808169. The next prime is 9914292808241. The reversal of 9914292808200 is 28082924199.

9914292808200 is a `hidden beast` number, since 9 + 9 + 1 + 429 + 2 + 8 + 0 + 8 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 57493489284 + 9856799318916 = 239778^2 + 3139554^2 .

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 107329234 + ... + 107421566.

Almost surely, 2^{9914292808200} is an apocalyptic number.

9914292808200 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 9914292808200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20043490767300).

9914292808200 is an abundant number, since it is smaller than the sum of its proper divisors (30172688726400).

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

9914292808200 is a wasteful number, since it uses less digits than its factorization.

9914292808200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92423 (or 92400 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 9914292808200 in words is "nine trillion, nine hundred fourteen billion, two hundred ninety-two million, eight hundred eight thousand, two hundred".