114114411411 has 64 divisors (see below), whose sum is σ = 208458163200. Its totient is φ = 54720126720.

The previous prime is 114114411409. The next prime is 114114411449.

114114411411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114114411411 - 2¹ = 114114411409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114114411011) 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 63 ways as a sum of consecutive naturals, for example, 240610 + ... + 534903.

It is an arithmetic number, because the mean of its divisors is an integer number (3257158800).

Almost surely, 2^114114411411 is an apocalyptic number.

114114411411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114114411411 is a deficient number, since it is larger than the sum of its proper divisors (94343751789).

114114411411 is a wasteful number, since it uses less digits than its factorization.

114114411411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775561 (or 775547 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

It can be divided in two parts, 114114 and 411411, that added together give a palindrome (525525).

The spelling of 114114411411 in words is "one hundred fourteen billion, one hundred fourteen million, four hundred eleven thousand, four hundred eleven".