112883934879744 has 1344 divisors, whose sum is σ = 374792429374272. Its totient is φ = 30083855155200.

The previous prime is 112883934879691. The next prime is 112883934879763. The reversal of 112883934879744 is 447978439388211.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 112883934879744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111435275782 + ... + 111435276794.

It is an arithmetic number, because the mean of its divisors is an integer number (278863414713).

Almost surely, 2^{112883934879744} is an apocalyptic number.

112883934879744 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 112883934879744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187396214687136).

112883934879744 is an abundant number, since it is smaller than the sum of its proper divisors (261908494494528).

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

112883934879744 is a wasteful number, since it uses less digits than its factorization.

112883934879744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1164 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 78.

The spelling of 112883934879744 in words is "one hundred twelve trillion, eight hundred eighty-three billion, nine hundred thirty-four million, eight hundred seventy-nine thousand, seven hundred forty-four".