114164461411 has 32 divisors (see below), whose sum is σ = 154312704000. Its totient is φ = 81565073280.

The previous prime is 114164461399. The next prime is 114164461429.

114164461411 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 114164461411 - 2⁵ = 114164461379 is a prime.

It is a super-2 number, since 2×114164461411² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114164461811) 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, 233571 + ... + 531868.

It is an arithmetic number, because the mean of its divisors is an integer number (4822272000).

Almost surely, 2^114164461411 is an apocalyptic number.

114164461411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114164461411 is a deficient number, since it is larger than the sum of its proper divisors (40148242589).

114164461411 is a wasteful number, since it uses less digits than its factorization.

114164461411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765619.

The product of its digits is 9216, while the sum is 34.

It can be divided in two parts, 114164 and 461411, that added together give a palindrome (575575).

The spelling of 114164461411 in words is "one hundred fourteen billion, one hundred sixty-four million, four hundred sixty-one thousand, four hundred eleven".