13448381838318 has 768 divisors, whose sum is σ = 37731585024000. Its totient is φ = 3472942003200.

The previous prime is 13448381838299. The next prime is 13448381838391. The reversal of 13448381838318 is 81383818384431.

It is a happy number.

13448381838318 is a `hidden beast` number, since 1 + 3 + 448 + 3 + 8 + 183 + 8 + 3 + 1 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38534045208 + ... + 38534045556.

It is an arithmetic number, because the mean of its divisors is an integer number (49129668000).

Almost surely, 2^{13448381838318} is an apocalyptic number.

13448381838318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13448381838318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865792512000).

13448381838318 is an abundant number, since it is smaller than the sum of its proper divisors (24283203185682).

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

13448381838318 is a wasteful number, since it uses less digits than its factorization.

13448381838318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 537 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 13448381838318 in words is "thirteen trillion, four hundred forty-eight billion, three hundred eighty-one million, eight hundred thirty-eight thousand, three hundred eighteen".