115162261511 has 24 divisors (see below), whose sum is σ = 127339145472. Its totient is φ = 103287852000.

The previous prime is 115162261499. The next prime is 115162261607.

115162261511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 115162261511 - 2¹⁸ = 115161999367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115162261811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34447106 + ... + 34450448.

It is an arithmetic number, because the mean of its divisors is an integer number (5305797728).

Almost surely, 2^115162261511 is an apocalyptic number.

115162261511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

115162261511 is a deficient number, since it is larger than the sum of its proper divisors (12176883961).

115162261511 is a wasteful number, since it uses less digits than its factorization.

115162261511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3762 counting only the distinct ones).

The product of its digits is 3600, while the sum is 32.

It can be divided in two parts, 115162 and 261511, that added together give a palindrome (376673).

The spelling of 115162261511 in words is "one hundred fifteen billion, one hundred sixty-two million, two hundred sixty-one thousand, five hundred eleven".