13686311440 has 20 divisors (see below), whose sum is σ = 31820674284. Its totient is φ = 5474524544.

The previous prime is 13686311383. The next prime is 13686311447. The reversal of 13686311440 is 4411368631.

It can be written as a sum of positive squares in 2 ways, for example, as 7519664656 + 6166646784 = 86716^2 + 78528^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 13686311440.

It is not an unprimeable number, because it can be changed into a prime (13686311447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85539367 + ... + 85539526.

Almost surely, 2^13686311440 is an apocalyptic number.

13686311440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13686311440 is an abundant number, since it is smaller than the sum of its proper divisors (18134362844).

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

13686311440 is a wasteful number, since it uses less digits than its factorization.

13686311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171078906 (or 171078900 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 13686311440 in words is "thirteen billion, six hundred eighty-six million, three hundred eleven thousand, four hundred forty".