11686081536 has 132 divisors (see below), whose sum is σ = 33811191492. Its totient is φ = 3887529984.

The previous prime is 11686081489. The next prime is 11686081559. The reversal of 11686081536 is 63518068611.

11686081536 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 608 + 1 + 5 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6348902400 + 5337179136 = 79680^2 + 73056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11686081491 and 11686081500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6238296 + ... + 6240168.

Almost surely, 2^11686081536 is an apocalyptic number.

11686081536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11686081536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16905595746).

11686081536 is an abundant number, since it is smaller than the sum of its proper divisors (22125109956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11686081536 is a wasteful number, since it uses less digits than its factorization.

11686081536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11686081536 in words is "eleven billion, six hundred eighty-six million, eighty-one thousand, five hundred thirty-six".