112356144441 has 16 divisors (see below), whose sum is σ = 166467611520. Its totient is φ = 74897767440.

The previous prime is 112356144431. The next prime is 112356144451. The reversal of 112356144441 is 144441653211.

112356144441 is a `hidden beast` number, since 1 + 1 + 2 + 35 + 614 + 4 + 4 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (112356144431) and next prime (112356144451).

It is not a de Polignac number, because 112356144441 - 2¹⁸ = 112355882297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112356144396 and 112356144405.

It is not an unprimeable number, because it can be changed into a prime (112356144401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161431 + ... + 500771.

It is an arithmetic number, because the mean of its divisors is an integer number (10404225720).

Almost surely, 2^112356144441 is an apocalyptic number.

It is an amenable number.

112356144441 is a deficient number, since it is larger than the sum of its proper divisors (54111467079).

112356144441 is a wasteful number, since it uses less digits than its factorization.

112356144441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351613 (or 351607 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 112356144441 its reverse (144441653211), we get a palindrome (256797797652).

The spelling of 112356144441 in words is "one hundred twelve billion, three hundred fifty-six million, one hundred forty-four thousand, four hundred forty-one".