112674935755584 has 84 divisors (see below), whose sum is σ = 323662929129540. Its totient is φ = 37476840437760.

The previous prime is 112674935755559. The next prime is 112674935755621. The reversal of 112674935755584 is 485557539476211.

112674935755584 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 7 + 4 + 9 + 35 + 7 + 5 + 5 + 584 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13232715782400 + 99442219973184 = 3637680^2 + 9972072^2 .

It is a super-2 number, since 2×112674935755584² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211899549 + ... + 212430620.

It is an arithmetic number, because the mean of its divisors is an integer number (3853130108685).

Almost surely, 2^{112674935755584} is an apocalyptic number.

It is an amenable number.

112674935755584 is an abundant number, since it is smaller than the sum of its proper divisors (210987993373956).

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

112674935755584 is a wasteful number, since it uses less digits than its factorization.

112674935755584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424330648 (or 424330635 counting only the distinct ones).

The product of its digits is 1270080000, while the sum is 72.

The spelling of 112674935755584 in words is "one hundred twelve trillion, six hundred seventy-four billion, nine hundred thirty-five million, seven hundred fifty-five thousand, five hundred eighty-four".