13318916735808 has 168 divisors, whose sum is σ = 38538513992160. Its totient is φ = 4397524208640.

The previous prime is 13318916735771. The next prime is 13318916735827. The reversal of 13318916735808 is 80853761981331.

13318916735808 is a `hidden beast` number, since 1 + 3 + 31 + 8 + 9 + 16 + 7 + 3 + 580 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681578518 + ... + 681598058.

It is an arithmetic number, because the mean of its divisors is an integer number (229395916620).

Almost surely, 2^{13318916735808} is an apocalyptic number.

13318916735808 is a gapful number since it is divisible by the number (18) 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 13318916735808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19269256996080).

13318916735808 is an abundant number, since it is smaller than the sum of its proper divisors (25219597256352).

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

13318916735808 is a wasteful number, since it uses less digits than its factorization.

13318916735808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30725 (or 30712 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 13318916735808 in words is "thirteen trillion, three hundred eighteen billion, nine hundred sixteen million, seven hundred thirty-five thousand, eight hundred eight".