114511115411 has 24 divisors (see below), whose sum is σ = 146814692976. Its totient is φ = 88309509120.

The previous prime is 114511115393. The next prime is 114511115429.

114511115411 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (114511115393) and next prime (114511115429).

It is a de Polignac number, because none of the positive numbers 2^k-114511115411 is a prime.

It is a super-2 number, since 2×114511115411² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114511115491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1042826 + ... + 1147391.

It is an arithmetic number, because the mean of its divisors is an integer number (6117278874).

Almost surely, 2^114511115411 is an apocalyptic number.

114511115411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114511115411 is a deficient number, since it is larger than the sum of its proper divisors (32303577565).

114511115411 is a wasteful number, since it uses less digits than its factorization.

114511115411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190339 (or 2190332 counting only the distinct ones).

The product of its digits is 400, while the sum is 26.

It can be divided in two parts, 114511 and 115411, that added together give a palindrome (229922).

The spelling of 114511115411 in words is "one hundred fourteen billion, five hundred eleven million, one hundred fifteen thousand, four hundred eleven".