13804842160 has 240 divisors, whose sum is σ = 35818511040. Its totient is φ = 4939683840.

The previous prime is 13804842157. The next prime is 13804842193. The reversal of 13804842160 is 6124840831.

13804842160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 44388405 + ... + 44388715.

It is an arithmetic number, because the mean of its divisors is an integer number (149243796).

Almost surely, 2^13804842160 is an apocalyptic number.

13804842160 is a gapful number since it is divisible by the number (10) 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 13804842160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17909255520).

13804842160 is an abundant number, since it is smaller than the sum of its proper divisors (22013668880).

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

13804842160 is a wasteful number, since it uses less digits than its factorization.

13804842160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 13804842160 in words is "thirteen billion, eight hundred four million, eight hundred forty-two thousand, one hundred sixty".