13686114456 has 160 divisors (see below), whose sum is σ = 43908480000. Its totient is φ = 3901535424.

The previous prime is 13686114451. The next prime is 13686114457. The reversal of 13686114456 is 65441168631.

13686114456 is a `hidden beast` number, since 1 + 3 + 6 + 86 + 114 + 456 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13686114451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2169595 + ... + 2175893.

It is an arithmetic number, because the mean of its divisors is an integer number (274428000).

Almost surely, 2^13686114456 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 13686114456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240000).

13686114456 is an abundant number, since it is smaller than the sum of its proper divisors (30222365544).

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

13686114456 is a wasteful number, since it uses less digits than its factorization.

13686114456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6803 (or 6790 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 13686114456 in words is "thirteen billion, six hundred eighty-six million, one hundred fourteen thousand, four hundred fifty-six".