114114111 has 32 divisors (see below), whose sum is σ = 161118720. Its totient is φ = 71769600.

The previous prime is 114114097. The next prime is 114114151. The reversal of 114114111 is 111411411.

It is not a de Polignac number, because 114114111 - 2⁹ = 114113599 is a prime.

It is a super-3 number, since 3×114114111³ (a number of 25 digits) contains 333 as substring.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114114151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637420 + ... + 637598.

It is an arithmetic number, because the mean of its divisors is an integer number (5034960).

Almost surely, 2^114114111 is an apocalyptic number.

114114111 is a deficient number, since it is larger than the sum of its proper divisors (47004609).

114114111 is a wasteful number, since it uses less digits than its factorization.

114114111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367.

The product of its digits is 16, while the sum is 15.

The square root of 114114111 is about 10682.4206526424. The cubic root of 114114111 is about 485.0424889265.

Adding to 114114111 its reverse (111411411), we get a palindrome (225525522).

The spelling of 114114111 in words is "one hundred fourteen million, one hundred fourteen thousand, one hundred eleven".