13867991808 has 288 divisors, whose sum is σ = 43359224832. Its totient is φ = 3887923200.

The previous prime is 13867991803. The next prime is 13867991849. The reversal of 13867991808 is 80819976831.

It is not an unprimeable number, because it can be changed into a prime (13867991801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8759785 + ... + 8761367.

It is an arithmetic number, because the mean of its divisors is an integer number (150552864).

Almost surely, 2^13867991808 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 13867991808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21679612416).

13867991808 is an abundant number, since it is smaller than the sum of its proper divisors (29491233024).

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

13867991808 is a wasteful number, since it uses less digits than its factorization.

13867991808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 60.

The spelling of 13867991808 in words is "thirteen billion, eight hundred sixty-seven million, nine hundred ninety-one thousand, eight hundred eight".