112998393446400 has 5184 divisors, whose sum is σ = 556581346513920. Its totient is φ = 22015062835200.

The previous prime is 112998393446377. The next prime is 112998393446441. The reversal of 112998393446400 is 4644393899211.

112998393446400 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 9 + 83 + 93 + 4 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1164931891152 + ... + 1164931891248.

It is an arithmetic number, because the mean of its divisors is an integer number (107365228880).

Almost surely, 2^{112998393446400} is an apocalyptic number.

112998393446400 is a gapful number since it is divisible by the number (10) 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 112998393446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278290673256960).

112998393446400 is an abundant number, since it is smaller than the sum of its proper divisors (443582953067520).

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

112998393446400 is an frugal number, since it uses more digits than its factorization.

112998393446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 112998393446400 in words is "one hundred twelve trillion, nine hundred ninety-eight billion, three hundred ninety-three million, four hundred forty-six thousand, four hundred".