115718817511 has 16 divisors (see below), whose sum is σ = 130325741568. Its totient is φ = 101793837600.

The previous prime is 115718817493. The next prime is 115718817541.

115718817511 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 115718817511 - 2²¹ = 115716720359 is a prime.

It is a super-2 number, since 2×115718817511² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115718817541) 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 15 ways as a sum of consecutive naturals, for example, 4613841 + ... + 4638853.

It is an arithmetic number, because the mean of its divisors is an integer number (8145358848).

Almost surely, 2^115718817511 is an apocalyptic number.

115718817511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

115718817511 is a deficient number, since it is larger than the sum of its proper divisors (14606924057).

115718817511 is a wasteful number, since it uses less digits than its factorization.

115718817511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38622.

The product of its digits is 78400, while the sum is 46.

The spelling of 115718817511 in words is "one hundred fifteen billion, seven hundred eighteen million, eight hundred seventeen thousand, five hundred eleven".