112772843344 has 80 divisors (see below), whose sum is σ = 258438280320. Its totient is φ = 46643627520.

The previous prime is 112772843327. The next prime is 112772843347. The reversal of 112772843344 is 443348277211.

It is a junction number, because it is equal to n+sod(n) for n = 112772843294 and 112772843303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112772843347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8707914 + ... + 8720854.

It is an arithmetic number, because the mean of its divisors is an integer number (3230478504).

Almost surely, 2^112772843344 is an apocalyptic number.

112772843344 is a gapful number since it is divisible by the number (14) 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 112772843344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129219140160).

112772843344 is an abundant number, since it is smaller than the sum of its proper divisors (145665436976).

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

112772843344 is a wasteful number, since it uses less digits than its factorization.

112772843344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15668 (or 15662 counting only the distinct ones).

The product of its digits is 903168, while the sum is 46.

The spelling of 112772843344 in words is "one hundred twelve billion, seven hundred seventy-two million, eight hundred forty-three thousand, three hundred forty-four".