13383979824384 has 108 divisors (see below), whose sum is σ = 41557722169236. Its totient is φ = 4118147629056.

The previous prime is 13383979824361. The next prime is 13383979824469. The reversal of 13383979824384 is 48342897938331.

13383979824384 is a `hidden beast` number, since 1 + 3 + 3 + 83 + 97 + 9 + 82 + 4 + 384 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1862897414400 + 11521082409984 = 1364880^2 + 3394272^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223393857 + ... + 223453760.

Almost surely, 2^{13383979824384} is an apocalyptic number.

It is an amenable number.

13383979824384 is an abundant number, since it is smaller than the sum of its proper divisors (28173742344852).

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

13383979824384 is a wasteful number, since it uses less digits than its factorization.

13383979824384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446847652 (or 446847635 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 13383979824384 in words is "thirteen trillion, three hundred eighty-three billion, nine hundred seventy-nine million, eight hundred twenty-four thousand, three hundred eighty-four".