114413314411 has 16 divisors (see below), whose sum is σ = 125000690400. Its totient is φ = 103857107200.

The previous prime is 114413314409. The next prime is 114413314441.

114413314411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114413314411 - 2¹ = 114413314409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114413314411.

It is not an unprimeable number, because it can be changed into a prime (114413314441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33758505 + ... + 33761893.

It is an arithmetic number, because the mean of its divisors is an integer number (7812543150).

Almost surely, 2^114413314411 is an apocalyptic number.

114413314411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114413314411 is a deficient number, since it is larger than the sum of its proper divisors (10587375989).

114413314411 is a wasteful number, since it uses less digits than its factorization.

114413314411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7070.

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 114413 and 314411, that added together give a palindrome (428824).

The spelling of 114413314411 in words is "one hundred fourteen billion, four hundred thirteen million, three hundred fourteen thousand, four hundred eleven".