114431411344431 has 32 divisors (see below), whose sum is σ = 157517791200000. Its totient is φ = 73846054897920.

The previous prime is 114431411344421. The next prime is 114431411344447. The reversal of 114431411344431 is 134443114134411.

It is a happy number.

It is not a de Polignac number, because 114431411344431 - 2⁷ = 114431411344303 is a prime.

It is a super-2 number, since 2×114431411344431² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114431411344431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114431411344421) 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, 25759945 + ... + 29873693.

It is an arithmetic number, because the mean of its divisors is an integer number (4922430975000).

Almost surely, 2^{114431411344431} is an apocalyptic number.

114431411344431 is a deficient number, since it is larger than the sum of its proper divisors (43086379855569).

114431411344431 is a wasteful number, since it uses less digits than its factorization.

114431411344431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4115559.

The product of its digits is 110592, while the sum is 39.

Adding to 114431411344431 its reverse (134443114134411), we get a palindrome (248874525478842).

The spelling of 114431411344431 in words is "one hundred fourteen trillion, four hundred thirty-one billion, four hundred eleven million, three hundred forty-four thousand, four hundred thirty-one".