114518815411 has 64 divisors (see below), whose sum is σ = 155799770112. Its totient is φ = 81962496000.

The previous prime is 114518815393. The next prime is 114518815429.

114518815411 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (114518815393) and next prime (114518815429).

It is not a de Polignac number, because 114518815411 - 2⁵ = 114518815379 is a prime.

It is a super-4 number, since 4×114518815411⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (114518815441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25554291 + ... + 25558771.

It is an arithmetic number, because the mean of its divisors is an integer number (2434371408).

Almost surely, 2^114518815411 is an apocalyptic number.

114518815411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114518815411 is a deficient number, since it is larger than the sum of its proper divisors (41280954701).

114518815411 is a wasteful number, since it uses less digits than its factorization.

114518815411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4745 (or 4723 counting only the distinct ones).

The product of its digits is 25600, while the sum is 40.

It can be divided in two parts, 114518 and 815411, that added together give a palindrome (929929).

The spelling of 114518815411 in words is "one hundred fourteen billion, five hundred eighteen million, eight hundred fifteen thousand, four hundred eleven".