13686132768 has 288 divisors, whose sum is σ = 46373886720. Its totient is φ = 3493808640.

The previous prime is 13686132767. The next prime is 13686132769. The reversal of 13686132768 is 86723168631.

It is an interprime number because it is at equal distance from previous prime (13686132767) and next prime (13686132769).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13686132768.

It is not an unprimeable number, because it can be changed into a prime (13686132767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3050655 + ... + 3055137.

It is an arithmetic number, because the mean of its divisors is an integer number (161020440).

Almost surely, 2^13686132768 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 13686132768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23186943360).

13686132768 is an abundant number, since it is smaller than the sum of its proper divisors (32687753952).

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

13686132768 is a wasteful number, since it uses less digits than its factorization.

13686132768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580 (or 4565 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 13686132768 in words is "thirteen billion, six hundred eighty-six million, one hundred thirty-two thousand, seven hundred sixty-eight".