11585646768512 has 32 divisors (see below), whose sum is σ = 24084292880880. Its totient is φ = 5540961496576.

The previous prime is 11585646768383. The next prime is 11585646768529. The reversal of 11585646768512 is 21586764658511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×11585646768512² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1967668043 + ... + 1967673930.

Almost surely, 2^{11585646768512} is an apocalyptic number.

It is an amenable number.

11585646768512 is an abundant number, since it is smaller than the sum of its proper divisors (12498646112368).

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

11585646768512 is an equidigital number, since it uses as much as digits as its factorization.

11585646768512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935342010 (or 3935341998 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 65.

The spelling of 11585646768512 in words is "eleven trillion, five hundred eighty-five billion, six hundred forty-six million, seven hundred sixty-eight thousand, five hundred twelve".