9908116400 has 120 divisors (see below), whose sum is σ = 29297645664. Its totient is φ = 3135744000.

The previous prime is 9908116399. The next prime is 9908116411. The reversal of 9908116400 is 46118099.

It is a happy number.

9908116400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 99701 + ... + 172500.

Almost surely, 2^9908116400 is an apocalyptic number.

It is an amenable number.

9908116400 is an abundant number, since it is smaller than the sum of its proper divisors (19389529264).

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

9908116400 is a wasteful number, since it uses less digits than its factorization.

9908116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272239 (or 272228 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 9908116400 is about 99539.5217991326. The cubic root of 9908116400 is about 2147.8158023638.

The spelling of 9908116400 in words is "nine billion, nine hundred eight million, one hundred sixteen thousand, four hundred".