13874113728 has 336 divisors, whose sum is σ = 44965071360. Its totient is φ = 4186473984.

The previous prime is 13874113679. The next prime is 13874113753. The reversal of 13874113728 is 82731147831.

13874113728 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, 14347101 + ... + 14348067.

Almost surely, 2^13874113728 is an apocalyptic number.

13874113728 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 13874113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22482535680).

13874113728 is an abundant number, since it is smaller than the sum of its proper divisors (31090957632).

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

13874113728 is a wasteful number, since it uses less digits than its factorization.

13874113728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1014 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 13874113728 in words is "thirteen billion, eight hundred seventy-four million, one hundred thirteen thousand, seven hundred twenty-eight".