115436634511 has 16 divisors (see below), whose sum is σ = 129478519296. Its totient is φ = 102004920000.

The previous prime is 115436634497. The next prime is 115436634527.

It is a happy number.

115436634511 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 115436634511 - 2¹¹ = 115436632463 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115436634541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350025 + ... + 594466.

It is an arithmetic number, because the mean of its divisors is an integer number (8092407456).

Almost surely, 2^115436634511 is an apocalyptic number.

115436634511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

115436634511 is a deficient number, since it is larger than the sum of its proper divisors (14041884785).

115436634511 is a wasteful number, since it uses less digits than its factorization.

115436634511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944814.

The product of its digits is 129600, while the sum is 40.

It can be divided in two parts, 115436 and 634511, that added together give a palindrome (749947).

The spelling of 115436634511 in words is "one hundred fifteen billion, four hundred thirty-six million, six hundred thirty-four thousand, five hundred eleven".