13838618080 has 192 divisors, whose sum is σ = 39444572160. Its totient is φ = 4481961984.

The previous prime is 13838618047. The next prime is 13838618089. The reversal of 13838618080 is 8081683831.

It is a self number, because there is not a number n which added to its sum of digits gives 13838618080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13838618089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9724249 + ... + 9725671.

It is an arithmetic number, because the mean of its divisors is an integer number (205440480).

Almost surely, 2^13838618080 is an apocalyptic number.

13838618080 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 13838618080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19722286080).

13838618080 is an abundant number, since it is smaller than the sum of its proper divisors (25605954080).

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

13838618080 is a wasteful number, since it uses less digits than its factorization.

13838618080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 13838618080 in words is "thirteen billion, eight hundred thirty-eight million, six hundred eighteen thousand, eighty".