112321677213144 has 48 divisors (see below), whose sum is σ = 347662334232720. Its totient is φ = 32091907775040.

The previous prime is 112321677213133. The next prime is 112321677213173. The reversal of 112321677213144 is 441312776123211.

112321677213144 is a `hidden beast` number, since 1 + 1 + 2 + 321 + 6 + 7 + 7 + 2 + 1 + 314 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112321677213144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111430234827 + ... + 111430235834.

It is an arithmetic number, because the mean of its divisors is an integer number (7242965296515).

Almost surely, 2^{112321677213144} is an apocalyptic number.

112321677213144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112321677213144 is an abundant number, since it is smaller than the sum of its proper divisors (235340657019576).

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

112321677213144 is a wasteful number, since it uses less digits than its factorization.

112321677213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222860470680 (or 222860470673 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 112321677213144 in words is "one hundred twelve trillion, three hundred twenty-one billion, six hundred seventy-seven million, two hundred thirteen thousand, one hundred forty-four".