9216838800 has 240 divisors, whose sum is σ = 35329127680. Its totient is φ = 2268725760.

The previous prime is 9216838733. The next prime is 9216838819. The reversal of 9216838800 is 88386129.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 107577 + ... + 173223.

Almost surely, 2^9216838800 is an apocalyptic number.

9216838800 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 9216838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664563840).

9216838800 is an abundant number, since it is smaller than the sum of its proper divisors (26112288880).

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

9216838800 is a wasteful number, since it uses less digits than its factorization.

9216838800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65687 (or 65670 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 9216838800 is about 96004.3686505984. The cubic root of 9216838800 is about 2096.6567210150.

The spelling of 9216838800 in words is "nine billion, two hundred sixteen million, eight hundred thirty-eight thousand, eight hundred".