114132004431 has 16 divisors (see below), whose sum is σ = 152807171328. Its totient is φ = 75772520000.

The previous prime is 114132004417. The next prime is 114132004433. The reversal of 114132004431 is 134400231411.

It is a cyclic number.

It is not a de Polignac number, because 114132004431 - 2⁹ = 114132003919 is a prime.

It is a super-2 number, since 2×114132004431² (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 (114132004433) 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 15 ways as a sum of consecutive naturals, for example, 8612971 + ... + 8626211.

It is an arithmetic number, because the mean of its divisors is an integer number (9550448208).

Almost surely, 2^114132004431 is an apocalyptic number.

114132004431 is a deficient number, since it is larger than the sum of its proper divisors (38675166897).

114132004431 is a wasteful number, since it uses less digits than its factorization.

114132004431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24942.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114132004431 its reverse (134400231411), we get a palindrome (248532235842).

The spelling of 114132004431 in words is "one hundred fourteen billion, one hundred thirty-two million, four thousand, four hundred thirty-one".