9108648000 has 336 divisors, whose sum is σ = 33048555696. Its totient is φ = 2394316800.

The previous prime is 9108647983. The next prime is 9108648011. The reversal of 9108648000 is 8468019.

It is a happy number.

9108648000 is a `hidden beast` number, since 9 + 1 + 0 + 8 + 648 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2900468736 + 6208179264 = 53856^2 + 78792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5255134 + ... + 5256866.

Almost surely, 2^9108648000 is an apocalyptic number.

9108648000 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 9108648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524277848).

9108648000 is an abundant number, since it is smaller than the sum of its proper divisors (23939907696).

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

9108648000 is a wasteful number, since it uses less digits than its factorization.

9108648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9108648000 is about 95439.2372140515. The cubic root of 9108648000 is about 2088.4206225318.

The spelling of 9108648000 in words is "nine billion, one hundred eight million, six hundred forty-eight thousand".