13851347328 has 640 divisors, whose sum is σ = 51877869120. Its totient is φ = 3571236864.

The previous prime is 13851347311. The next prime is 13851347347. The reversal of 13851347328 is 82374315831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50004726 + ... + 50005002.

Almost surely, 2^13851347328 is an apocalyptic number.

13851347328 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 13851347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25938934560).

13851347328 is an abundant number, since it is smaller than the sum of its proper divisors (38026521792).

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

13851347328 is a wasteful number, since it uses less digits than its factorization.

13851347328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 13851347328 in words is "thirteen billion, eight hundred fifty-one million, three hundred forty-seven thousand, three hundred twenty-eight".