112094239338000 has 480 divisors, whose sum is σ = 411147586536960. Its totient is φ = 29513409868800.

The previous prime is 112094239337987. The next prime is 112094239338001. The reversal of 112094239338000 is 833932490211.

112094239338000 is a `hidden beast` number, since 11 + 20 + 9 + 4 + 239 + 3 + 380 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112094239338001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36934212 + ... + 39853788.

It is an arithmetic number, because the mean of its divisors is an integer number (856557471952).

Almost surely, 2^{112094239338000} is an apocalyptic number.

112094239338000 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 112094239338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205573793268480).

112094239338000 is an abundant number, since it is smaller than the sum of its proper divisors (299053347198960).

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

112094239338000 is an equidigital number, since it uses as much as digits as its factorization.

112094239338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919694 (or 2919666 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 112094239338000 in words is "one hundred twelve trillion, ninety-four billion, two hundred thirty-nine million, three hundred thirty-eight thousand".