13878840192 has 128 divisors (see below), whose sum is σ = 42401840640. Its totient is φ = 3940005888.

The previous prime is 13878840191. The next prime is 13878840203. The reversal of 13878840192 is 29104887831.

13878840192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13878840191) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 405573 + ... + 438459.

It is an arithmetic number, because the mean of its divisors is an integer number (331264380).

Almost surely, 2^13878840192 is an apocalyptic number.

13878840192 is a gapful number since it is divisible by the number (12) 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 13878840192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21200920320).

13878840192 is an abundant number, since it is smaller than the sum of its proper divisors (28523000448).

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

13878840192 is a wasteful number, since it uses less digits than its factorization.

13878840192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33068 (or 33056 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 13878840192 in words is "thirteen billion, eight hundred seventy-eight million, eight hundred forty thousand, one hundred ninety-two".