9249228800 has 288 divisors, whose sum is σ = 26542676160. Its totient is φ = 3130982400.

The previous prime is 9249228799. The next prime is 9249228817. The reversal of 9249228800 is 88229429.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46950302 + ... + 46950498.

It is an arithmetic number, because the mean of its divisors is an integer number (92162070).

Almost surely, 2^9249228800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9249228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13271338080).

9249228800 is an abundant number, since it is smaller than the sum of its proper divisors (17293447360).

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

9249228800 is a wasteful number, since it uses less digits than its factorization.

9249228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 9249228800 is about 96172.9109468981. The cubic root of 9249228800 is about 2099.1098873176.

The spelling of 9249228800 in words is "nine billion, two hundred forty-nine million, two hundred twenty-eight thousand, eight hundred".