112142644340760 has 768 divisors, whose sum is σ = 422445803068800. Its totient is φ = 26422494658560.

The previous prime is 112142644340737. The next prime is 112142644340761. The reversal of 112142644340760 is 67043446241211.

112142644340760 is a `hidden beast` number, since 1 + 1 + 2 + 142 + 6 + 4 + 43 + 407 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112142644340761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4607895312 + ... + 4607919648.

Almost surely, 2^{112142644340760} is an apocalyptic number.

112142644340760 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 112142644340760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211222901534400).

112142644340760 is an abundant number, since it is smaller than the sum of its proper divisors (310303158728040).

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

112142644340760 is a wasteful number, since it uses less digits than its factorization.

112142644340760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25369 (or 25348 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 112142644340760 in words is "one hundred twelve trillion, one hundred forty-two billion, six hundred forty-four million, three hundred forty thousand, seven hundred sixty".