13731807616 has 64 divisors (see below), whose sum is σ = 28306713600. Its totient is φ = 6628446720.

The previous prime is 13731807587. The next prime is 13731807653. The reversal of 13731807616 is 61670813731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1738011 + ... + 1745893.

It is an arithmetic number, because the mean of its divisors is an integer number (442292400).

Almost surely, 2^13731807616 is an apocalyptic number.

13731807616 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 13731807616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14153356800).

13731807616 is an abundant number, since it is smaller than the sum of its proper divisors (14574905984).

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

13731807616 is an equidigital number, since it uses as much as digits as its factorization.

13731807616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8367 (or 8355 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 13731807616 in words is "thirteen billion, seven hundred thirty-one million, eight hundred seven thousand, six hundred sixteen".