112401114165 has 48 divisors (see below), whose sum is σ = 207023624496. Its totient is φ = 56220057600.

The previous prime is 112401114143. The next prime is 112401114169. The reversal of 112401114165 is 561411104211.

It is a happy number.

112401114165 is a `hidden beast` number, since 1 + 1 + 240 + 1 + 1 + 1 + 416 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2701712484 + 109699401681 = 51978^2 + 331209^2 .

It is not a de Polignac number, because 112401114165 - 2⁶ = 112401114101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112401114169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46476 + ... + 476405.

It is an arithmetic number, because the mean of its divisors is an integer number (4312992177).

Almost surely, 2^112401114165 is an apocalyptic number.

112401114165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112401114165 is a deficient number, since it is larger than the sum of its proper divisors (94622510331).

112401114165 is a wasteful number, since it uses less digits than its factorization.

112401114165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523190 (or 523187 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 112401114165 its reverse (561411104211), we get a palindrome (673812218376).

The spelling of 112401114165 in words is "one hundred twelve billion, four hundred one million, one hundred fourteen thousand, one hundred sixty-five".