114231132411 has 64 divisors (see below), whose sum is σ = 172747800576. Its totient is φ = 66533184000.

The previous prime is 114231132391. The next prime is 114231132427.

114231132411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114231132411 - 2¹³ = 114231124219 is a prime.

It is a super-2 number, since 2×114231132411² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114231132461) 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 63 ways as a sum of consecutive naturals, for example, 68688966 + ... + 68690628.

It is an arithmetic number, because the mean of its divisors is an integer number (2699184384).

Almost surely, 2^114231132411 is an apocalyptic number.

114231132411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114231132411 is a deficient number, since it is larger than the sum of its proper divisors (58516668165).

114231132411 is a wasteful number, since it uses less digits than its factorization.

114231132411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 114231 and 132411, that added together give a palindrome (246642).

The spelling of 114231132411 in words is "one hundred fourteen billion, two hundred thirty-one million, one hundred thirty-two thousand, four hundred eleven".