115632101236511 has 16 divisors (see below), whose sum is σ = 120888181971648. Its totient is φ = 110395217856000.

The previous prime is 115632101236453. The next prime is 115632101236541.

115632101236511 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 115632101236511 - 2¹⁸ = 115632100974367 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 (115632101236541) 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, 32844455 + ... + 36194231.

It is an arithmetic number, because the mean of its divisors is an integer number (7555511373228).

Almost surely, 2^{115632101236511} is an apocalyptic number.

115632101236511 is a deficient number, since it is larger than the sum of its proper divisors (5256080735137).

115632101236511 is a wasteful number, since it uses less digits than its factorization.

115632101236511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352642.

The product of its (nonzero) digits is 32400, while the sum is 38.

It can be divided in two parts, 11563210 and 1236511, that added together give a palindrome (12799721).

The spelling of 115632101236511 in words is "one hundred fifteen trillion, six hundred thirty-two billion, one hundred one million, two hundred thirty-six thousand, five hundred eleven".