13286478733936 has 160 divisors (see below), whose sum is σ = 27432287221248. Its totient is φ = 6221286466560.

The previous prime is 13286478733889. The next prime is 13286478733963. The reversal of 13286478733936 is 63933787468231.

13286478733936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1161704410 + ... + 1161715846.

Almost surely, 2^{13286478733936} is an apocalyptic number.

13286478733936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13286478733936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716143610624).

13286478733936 is an abundant number, since it is smaller than the sum of its proper divisors (14145808487312).

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

13286478733936 is a wasteful number, since it uses less digits than its factorization.

13286478733936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11919 (or 11913 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 70.

The spelling of 13286478733936 in words is "thirteen trillion, two hundred eighty-six billion, four hundred seventy-eight million, seven hundred thirty-three thousand, nine hundred thirty-six".