112694885936640 has 1920 divisors, whose sum is σ = 472796709073920. Its totient is φ = 25366023438336.

The previous prime is 112694885936617. The next prime is 112694885936653. The reversal of 112694885936640 is 46639588496211.

112694885936640 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 9 + 488 + 59 + 36 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 141398852722 + ... + 141398853518.

It is an arithmetic number, because the mean of its divisors is an integer number (246248285976).

Almost surely, 2^{112694885936640} is an apocalyptic number.

112694885936640 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 112694885936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236398354536960).

112694885936640 is an abundant number, since it is smaller than the sum of its proper divisors (360101823137280).

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

112694885936640 is an equidigital number, since it uses as much as digits as its factorization.

112694885936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 112694885936640 in words is "one hundred twelve trillion, six hundred ninety-four billion, eight hundred eighty-five million, nine hundred thirty-six thousand, six hundred forty".