9116423971200 has 1728 divisors, whose sum is σ = 43149836358720. Its totient is φ = 1810258329600.

The previous prime is 9116423971159. The next prime is 9116423971219. The reversal of 9116423971200 is 21793246119.

9116423971200 is a `hidden beast` number, since 9 + 1 + 16 + 42 + 397 + 1 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 311860585 + ... + 311889815.

It is an arithmetic number, because the mean of its divisors is an integer number (24970970115).

Almost surely, 2^{9116423971200} is an apocalyptic number.

9116423971200 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 9116423971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21574918179360).

9116423971200 is an abundant number, since it is smaller than the sum of its proper divisors (34033412387520).

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

9116423971200 is a wasteful number, since it uses less digits than its factorization.

9116423971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29305 (or 29278 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 9116423971200 in words is "nine trillion, one hundred sixteen billion, four hundred twenty-three million, nine hundred seventy-one thousand, two hundred".