115485584511 has 16 divisors (see below), whose sum is σ = 167996638080. Its totient is φ = 69983927520.

The previous prime is 115485584503. The next prime is 115485584531.

115485584511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 115485584511 - 2³ = 115485584503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115485584531) 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 15 ways as a sum of consecutive naturals, for example, 145005 + ... + 501993.

It is an arithmetic number, because the mean of its divisors is an integer number (10499789880).

Almost surely, 2^115485584511 is an apocalyptic number.

115485584511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

115485584511 is a deficient number, since it is larger than the sum of its proper divisors (52511053569).

115485584511 is a wasteful number, since it uses less digits than its factorization.

115485584511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366806.

The product of its digits is 640000, while the sum is 48.

It can be divided in two parts, 115485 and 584511, that added together give a palindrome (699996).

The spelling of 115485584511 in words is "one hundred fifteen billion, four hundred eighty-five million, five hundred eighty-four thousand, five hundred eleven".