12689335605336 has 128 divisors (see below), whose sum is σ = 34266732864000. Its totient is φ = 3892631758848.

The previous prime is 12689335605299. The next prime is 12689335605337. The reversal of 12689335605336 is 63350653398621.

It is a super-2 number, since 2×12689335605336² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12689335605336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12689335605337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334977645 + ... + 335015523.

It is an arithmetic number, because the mean of its divisors is an integer number (267708850500).

Almost surely, 2^{12689335605336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12689335605336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133366432000).

12689335605336 is an abundant number, since it is smaller than the sum of its proper divisors (21577397258664).

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

12689335605336 is a wasteful number, since it uses less digits than its factorization.

12689335605336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41113 (or 41109 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 60.

The spelling of 12689335605336 in words is "twelve trillion, six hundred eighty-nine billion, three hundred thirty-five million, six hundred five thousand, three hundred thirty-six".