13381744320 has 560 divisors, whose sum is σ = 54914035968. Its totient is φ = 3029944320.

The previous prime is 13381744297. The next prime is 13381744331. The reversal of 13381744320 is 2344718331.

13381744320 is a `hidden beast` number, since 133 + 81 + 7 + 443 + 2 + 0 = 666.

13381744320 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 (560).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 23768359 + ... + 23768921.

Almost surely, 2^13381744320 is an apocalyptic number.

13381744320 is a gapful number since it is divisible by the number (10) 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 13381744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27457017984).

13381744320 is an abundant number, since it is smaller than the sum of its proper divisors (41532291648).

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

13381744320 is a wasteful number, since it uses less digits than its factorization.

13381744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13381744320 in words is "thirteen billion, three hundred eighty-one million, seven hundred forty-four thousand, three hundred twenty".