111111141111111 has 24 divisors (see below), whose sum is σ = 161142042381840. Its totient is φ = 73775495435136.

The previous prime is 111111141111109. The next prime is 111111141111127.

111111141111111 is a `hidden beast` number, since 11 + 11 + 111 + 411 + 11 + 111 = 666.

111111141111111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 111111141111111 - 2¹ = 111111141111109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111141111211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20842326 + ... + 25624691.

It is an arithmetic number, because the mean of its divisors is an integer number (6714251765910).

Almost surely, 2^{111111141111111} is an apocalyptic number.

111111141111111 is a deficient number, since it is larger than the sum of its proper divisors (50030901270729).

111111141111111 is a wasteful number, since it uses less digits than its factorization.

111111141111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46468095 (or 46468092 counting only the distinct ones).

The product of its digits is 4, while the sum is 18.

The spelling of 111111141111111 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred forty-one million, one hundred eleven thousand, one hundred eleven".