91944115200 has 1056 divisors, whose sum is σ = 398977003520. Its totient is φ = 20304691200.

The previous prime is 91944115189. The next prime is 91944115201. The reversal of 91944115200 is 251144919.

It is a happy number.

91944115200 is a `hidden beast` number, since 9 + 1 + 9 + 441 + 1 + 5 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91944115201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149990094 + ... + 149990706.

Almost surely, 2^91944115200 is an apocalyptic number.

91944115200 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 91944115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199488501760).

91944115200 is an abundant number, since it is smaller than the sum of its proper divisors (307032888320).

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

91944115200 is a wasteful number, since it uses less digits than its factorization.

91944115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 91944115200 in words is "ninety-one billion, nine hundred forty-four million, one hundred fifteen thousand, two hundred".