114007072431 has 16 divisors (see below), whose sum is σ = 173730435584. Its totient is φ = 65144883744.

The previous prime is 114007072381. The next prime is 114007072447. The reversal of 114007072431 is 134270700411.

It is not a de Polignac number, because 114007072431 - 2¹⁷ = 114006941359 is a prime.

It is a super-2 number, since 2×114007072431² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114007072331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855966 + ... + 980148.

It is an arithmetic number, because the mean of its divisors is an integer number (10858152224).

Almost surely, 2^114007072431 is an apocalyptic number.

114007072431 is a deficient number, since it is larger than the sum of its proper divisors (59723363153).

114007072431 is a wasteful number, since it uses less digits than its factorization.

114007072431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167910.

The product of its (nonzero) digits is 4704, while the sum is 30.

Adding to 114007072431 its reverse (134270700411), we get a palindrome (248277772842).

The spelling of 114007072431 in words is "one hundred fourteen billion, seven million, seventy-two thousand, four hundred thirty-one".