11688705403769 has 12 divisors (see below), whose sum is σ = 12336881451156. Its totient is φ = 11072969699328.

The previous prime is 11688705403699. The next prime is 11688705403799. The reversal of 11688705403769 is 96730450788611.

11688705403769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8502980184169 + 3185725219600 = 2915987^2 + 1784860^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11688705403769 is a prime.

It is a super-2 number, since 2×11688705403769² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11688705403799) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6711737 + ... + 8271929.

It is an arithmetic number, because the mean of its divisors is an integer number (1028073454263).

Almost surely, 2^{11688705403769} is an apocalyptic number.

11688705403769 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

11688705403769 is a deficient number, since it is larger than the sum of its proper divisors (648176047387).

11688705403769 is a wasteful number, since it uses less digits than its factorization.

11688705403769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580984 (or 1580965 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 65.

The spelling of 11688705403769 in words is "eleven trillion, six hundred eighty-eight billion, seven hundred five million, four hundred three thousand, seven hundred sixty-nine".