112356226431684 has 243 divisors, whose sum is σ = 300274239917197. Its totient is φ = 36784095894432.

The previous prime is 112356226431593. The next prime is 112356226431697. The reversal of 112356226431684 is 486134622653211.

It is a happy number.

The square root of 112356226431684 is 10599822.

It is a perfect power (a square), and thus also a powerful number.

112356226431684 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 5 + 62 + 264 + 316 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1816235991684 + 110539990440000 = 1347678^2 + 10513800^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112356226431684.

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 80 ways as a sum of consecutive naturals, for example, 101313098122 + ... + 101313099230.

Almost surely, 2^{112356226431684} is an apocalyptic number.

112356226431684 is the 10599822-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112356226431684

112356226431684 is an abundant number, since it is smaller than the sum of its proper divisors (187918013485513).

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

112356226431684 is an frugal number, since it uses more digits than its factorization.

112356226431684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 1173 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 112356226431684 in words is "one hundred twelve trillion, three hundred fifty-six billion, two hundred twenty-six million, four hundred thirty-one thousand, six hundred eighty-four".