115214363412511 has 24 divisors (see below), whose sum is σ = 128346376111632. Its totient is φ = 103336851552000.

The previous prime is 115214363412497. The next prime is 115214363412529.

115214363412511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 115214363412511 - 2²³ = 115214355023903 is a prime.

It is a super-2 number, since 2×115214363412511² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115214363422511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13197946 + ... + 20115031.

It is an arithmetic number, because the mean of its divisors is an integer number (5347765671318).

Almost surely, 2^{115214363412511} is an apocalyptic number.

115214363412511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

115214363412511 is a deficient number, since it is larger than the sum of its proper divisors (13132012699121).

115214363412511 is a wasteful number, since it uses less digits than its factorization.

115214363412511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33313383 (or 33313372 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The spelling of 115214363412511 in words is "one hundred fifteen trillion, two hundred fourteen billion, three hundred sixty-three million, four hundred twelve thousand, five hundred eleven".