112072949181 has 12 divisors (see below), whose sum is σ = 161932054908. Its totient is φ = 74692727424.

The previous prime is 112072949179. The next prime is 112072949201. The reversal of 112072949181 is 181949270211.

112072949181 is a `hidden beast` number, since 1 + 12 + 0 + 72 + 9 + 491 + 81 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108411489081 + 3661460100 = 329259^2 + 60510^2 .

It is not a de Polignac number, because 112072949181 - 2¹ = 112072949179 is a prime.

It is a super-2 number, since 2×112072949181² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112072949881) 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 11 ways as a sum of consecutive naturals, for example, 1849530 + ... + 1909163.

It is an arithmetic number, because the mean of its divisors is an integer number (13494337909).

Almost surely, 2^112072949181 is an apocalyptic number.

It is an amenable number.

112072949181 is a deficient number, since it is larger than the sum of its proper divisors (49859105727).

112072949181 is a wasteful number, since it uses less digits than its factorization.

112072949181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762012 (or 3762009 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 112072949181 in words is "one hundred twelve billion, seventy-two million, nine hundred forty-nine thousand, one hundred eighty-one".