13380821350848 has 252 divisors, whose sum is σ = 44716292426520. Its totient is φ = 3814458246144.

The previous prime is 13380821350829. The next prime is 13380821350861. The reversal of 13380821350848 is 84805312808331.

13380821350848 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 0 + 82 + 13 + 508 + 48 = 666.

13380821350848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 13380821350794 and 13380821350803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11968138 + ... + 13038326.

Almost surely, 2^{13380821350848} is an apocalyptic number.

13380821350848 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 13380821350848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22358146213260).

13380821350848 is an abundant number, since it is smaller than the sum of its proper divisors (31335471075672).

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

13380821350848 is a wasteful number, since it uses less digits than its factorization.

13380821350848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070664 (or 1070644 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 13380821350848 in words is "thirteen trillion, three hundred eighty billion, eight hundred twenty-one million, three hundred fifty thousand, eight hundred forty-eight".