13383345744 has 160 divisors (see below), whose sum is σ = 41037373440. Its totient is φ = 4161282048.

The previous prime is 13383345737. The next prime is 13383345763. The reversal of 13383345744 is 44754338331.

13383345744 is a `hidden beast` number, since 13 + 38 + 3 + 34 + 574 + 4 = 666.

13383345744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13383345744² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13383345744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821809 + ... + 837935.

It is an arithmetic number, because the mean of its divisors is an integer number (256483584).

Almost surely, 2^13383345744 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 13383345744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20518686720).

13383345744 is an abundant number, since it is smaller than the sum of its proper divisors (27654027696).

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

13383345744 is a wasteful number, since it uses less digits than its factorization.

13383345744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16274 (or 16262 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 13383345744 in words is "thirteen billion, three hundred eighty-three million, three hundred forty-five thousand, seven hundred forty-four".