115386683511 has 48 divisors (see below), whose sum is σ = 174997361664. Its totient is φ = 66999360000.

The previous prime is 115386683471. The next prime is 115386683513.

115386683511 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-115386683511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115386683513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10430095 + ... + 10441151.

It is an arithmetic number, because the mean of its divisors is an integer number (3645778368).

Almost surely, 2^115386683511 is an apocalyptic number.

115386683511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

115386683511 is a deficient number, since it is larger than the sum of its proper divisors (59610678153).

115386683511 is a wasteful number, since it uses less digits than its factorization.

115386683511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11304 (or 11203 counting only the distinct ones).

The product of its digits is 518400, while the sum is 48.

It can be divided in two parts, 115386 and 683511, that added together give a palindrome (798897).

The spelling of 115386683511 in words is "one hundred fifteen billion, three hundred eighty-six million, six hundred eighty-three thousand, five hundred eleven".