13113716616 has 768 divisors, whose sum is σ = 51778621440. Its totient is φ = 2997181440.

The previous prime is 13113716591. The next prime is 13113716669. The reversal of 13113716616 is 61661731131.

13113716616 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 37 + 1 + 6 + 616 = 666.

13113716616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44756566 + ... + 44756858.

It is an arithmetic number, because the mean of its divisors is an integer number (67420080).

Almost surely, 2^13113716616 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 13113716616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25889310720).

13113716616 is an abundant number, since it is smaller than the sum of its proper divisors (38664904824).

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

13113716616 is a wasteful number, since it uses less digits than its factorization.

13113716616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The spelling of 13113716616 in words is "thirteen billion, one hundred thirteen million, seven hundred sixteen thousand, six hundred sixteen".