13938381648 has 120 divisors (see below), whose sum is σ = 40053686400. Its totient is φ = 4522129920.

The previous prime is 13938381641. The next prime is 13938381697. The reversal of 13938381648 is 84618383931.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13938381594 and 13938381603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13938381641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2731003 + ... + 2736101.

It is an arithmetic number, because the mean of its divisors is an integer number (333780720).

Almost surely, 2^13938381648 is an apocalyptic number.

13938381648 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 13938381648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20026843200).

13938381648 is an abundant number, since it is smaller than the sum of its proper divisors (26115304752).

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

13938381648 is a wasteful number, since it uses less digits than its factorization.

13938381648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617 (or 5608 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 13938381648 in words is "thirteen billion, nine hundred thirty-eight million, three hundred eighty-one thousand, six hundred forty-eight".