9118407916800 has 2592 divisors, whose sum is σ = 41848221542400. Its totient is φ = 1842338856960.

The previous prime is 9118407916799. The next prime is 9118407916823. The reversal of 9118407916800 is 86197048119.

9118407916800 is a `hidden beast` number, since 91 + 1 + 8 + 407 + 91 + 68 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33897427066 + ... + 33897427334.

It is an arithmetic number, because the mean of its divisors is an integer number (16145147200).

Almost surely, 2^{9118407916800} is an apocalyptic number.

9118407916800 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 9118407916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20924110771200).

9118407916800 is an abundant number, since it is smaller than the sum of its proper divisors (32729813625600).

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

9118407916800 is a wasteful number, since it uses less digits than its factorization.

9118407916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 9118407916800 in words is "nine trillion, one hundred eighteen billion, four hundred seven million, nine hundred sixteen thousand, eight hundred".