13168415808 has 224 divisors, whose sum is σ = 39393083520. Its totient is φ = 4313088000.

The previous prime is 13168415807. The next prime is 13168415833. The reversal of 13168415808 is 80851486131.

13168415808 is a `hidden beast` number, since 1 + 3 + 1 + 68 + 4 + 1 + 580 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (13168415807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42071460 + ... + 42071772.

It is an arithmetic number, because the mean of its divisors is an integer number (175861980).

Almost surely, 2^13168415808 is an apocalyptic number.

13168415808 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 13168415808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19696541760).

13168415808 is an abundant number, since it is smaller than the sum of its proper divisors (26224667712).

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

13168415808 is a wasteful number, since it uses less digits than its factorization.

13168415808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 13168415808 in words is "thirteen billion, one hundred sixty-eight million, four hundred fifteen thousand, eight hundred eight".