11685081217536 has 120 divisors (see below), whose sum is σ = 33725312004384. Its totient is φ = 3894868101120.

The previous prime is 11685081217519. The next prime is 11685081217547. The reversal of 11685081217536 is 63571218058611.

11685081217536 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 5 + 0 + 81 + 21 + 7 + 536 = 666.

It is a super-2 number, since 2×11685081217536² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183490981 + ... + 183554651.

Almost surely, 2^{11685081217536} is an apocalyptic number.

11685081217536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11685081217536 is an abundant number, since it is smaller than the sum of its proper divisors (22040230786848).

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

11685081217536 is an equidigital number, since it uses as much as digits as its factorization.

11685081217536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103522 (or 103503 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 11685081217536 in words is "eleven trillion, six hundred eighty-five billion, eighty-one million, two hundred seventeen thousand, five hundred thirty-six".