114444400431 has 16 divisors (see below), whose sum is σ = 159235948800. Its totient is φ = 72974932800.

The previous prime is 114444400417. The next prime is 114444400439. The reversal of 114444400431 is 134004444411.

It is not a de Polignac number, because 114444400431 - 2¹⁸ = 114444138287 is a prime.

It is a super-2 number, since 2×114444400431² (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 (114444400439) 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, 1614331 + ... + 1683731.

It is an arithmetic number, because the mean of its divisors is an integer number (9952246800).

Almost surely, 2^114444400431 is an apocalyptic number.

114444400431 is a deficient number, since it is larger than the sum of its proper divisors (44791548369).

114444400431 is a wasteful number, since it uses less digits than its factorization.

114444400431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93326.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 114444400431 its reverse (134004444411), we get a palindrome (248448844842).

The spelling of 114444400431 in words is "one hundred fourteen billion, four hundred forty-four million, four hundred thousand, four hundred thirty-one".