13807430208 has 448 divisors, whose sum is σ = 48420771840. Its totient is φ = 3802982400.

The previous prime is 13807430191. The next prime is 13807430213. The reversal of 13807430208 is 80203470831.

13807430208 is a `hidden beast` number, since 1 + 380 + 74 + 3 + 0 + 208 = 666.

13807430208 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 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 63 ways as a sum of consecutive naturals, for example, 17543991 + ... + 17544777.

It is an arithmetic number, because the mean of its divisors is an integer number (108082080).

Almost surely, 2^13807430208 is an apocalyptic number.

13807430208 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 13807430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24210385920).

13807430208 is an abundant number, since it is smaller than the sum of its proper divisors (34613341632).

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

13807430208 is a wasteful number, since it uses less digits than its factorization.

13807430208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13807430208 in words is "thirteen billion, eight hundred seven million, four hundred thirty thousand, two hundred eight".