114441144411 has 32 divisors (see below), whose sum is σ = 176853945600. Its totient is φ = 65156676480.

The previous prime is 114441144403. The next prime is 114441144439.

114441144411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114441144411 - 2³ = 114441144403 is a prime.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (114441144491) 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, 1580581 + ... + 1651398.

It is an arithmetic number, because the mean of its divisors is an integer number (5526685800).

Almost surely, 2^114441144411 is an apocalyptic number.

114441144411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114441144411 is a deficient number, since it is larger than the sum of its proper divisors (62412801189).

114441144411 is a wasteful number, since it uses less digits than its factorization.

114441144411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232059.

The product of its digits is 4096, while the sum is 30.

It can be divided in two parts, 114441 and 144411, that added together give a palindrome (258852).

The spelling of 114441144411 in words is "one hundred fourteen billion, four hundred forty-one million, one hundred forty-four thousand, four hundred eleven".