11584803681 has 32 divisors (see below), whose sum is σ = 19368547200. Its totient is φ = 6778981440.

The previous prime is 11584803673. The next prime is 11584803689. The reversal of 11584803681 is 18630848511.

11584803681 is a `hidden beast` number, since 1 + 1 + 584 + 8 + 0 + 3 + 68 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (11584803673) and next prime (11584803689).

It is not a de Polignac number, because 11584803681 - 2³ = 11584803673 is a prime.

It is a super-2 number, since 2×11584803681² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11584803689) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 663906 + ... + 681131.

It is an arithmetic number, because the mean of its divisors is an integer number (605267100).

Almost surely, 2^11584803681 is an apocalyptic number.

11584803681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11584803681 is a deficient number, since it is larger than the sum of its proper divisors (7783743519).

11584803681 is a wasteful number, since it uses less digits than its factorization.

11584803681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345086 (or 1345080 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 11584803681 in words is "eleven billion, five hundred eighty-four million, eight hundred three thousand, six hundred eighty-one".