114234432411 has 32 divisors (see below), whose sum is σ = 173125612800. Its totient is φ = 66364663680.

The previous prime is 114234432409. The next prime is 114234432413.

It is a happy number.

114234432411 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (114234432409) and next prime (114234432413).

It is not a de Polignac number, because 114234432411 - 2¹ = 114234432409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114234432413) 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, 296356 + ... + 562401.

It is an arithmetic number, because the mean of its divisors is an integer number (5410175400).

Almost surely, 2^114234432411 is an apocalyptic number.

114234432411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114234432411 is a deficient number, since it is larger than the sum of its proper divisors (58891180389).

114234432411 is a wasteful number, since it uses less digits than its factorization.

114234432411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858939.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 114234 and 432411, that added together give a palindrome (546645).

The spelling of 114234432411 in words is "one hundred fourteen billion, two hundred thirty-four million, four hundred thirty-two thousand, four hundred eleven".