13838849280 has 432 divisors, whose sum is σ = 49245356160. Its totient is φ = 3587162112.

The previous prime is 13838849257. The next prime is 13838849347. The reversal of 13838849280 is 8294883831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126961866 + ... + 126961974.

It is an arithmetic number, because the mean of its divisors is an integer number (113993880).

Almost surely, 2^13838849280 is an apocalyptic number.

13838849280 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 13838849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24622678080).

13838849280 is an abundant number, since it is smaller than the sum of its proper divisors (35406506880).

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

13838849280 is a wasteful number, since it uses less digits than its factorization.

13838849280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 13838849280 in words is "thirteen billion, eight hundred thirty-eight million, eight hundred forty-nine thousand, two hundred eighty".