13887391335424 has 264 divisors, whose sum is σ = 30185103922560. Its totient is φ = 6381903151104.

The previous prime is 13887391335403. The next prime is 13887391335431. The reversal of 13887391335424 is 42453319378831.

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 23 ways as a sum of consecutive naturals, for example, 8609665242 + ... + 8609666854.

Almost surely, 2^{13887391335424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13887391335424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092551961280).

13887391335424 is an abundant number, since it is smaller than the sum of its proper divisors (16297712587136).

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

13887391335424 is a wasteful number, since it uses less digits than its factorization.

13887391335424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2298 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 61.

The spelling of 13887391335424 in words is "thirteen trillion, eight hundred eighty-seven billion, three hundred ninety-one million, three hundred thirty-five thousand, four hundred twenty-four".