13343896384 has 448 divisors, whose sum is σ = 36868608000. Its totient is φ = 4738922496.

The previous prime is 13343896381. The next prime is 13343896393. The reversal of 13343896384 is 48369834331.

13343896384 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 (448).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13343896381) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 124709259 + ... + 124709365.

It is an arithmetic number, because the mean of its divisors is an integer number (82296000).

Almost surely, 2^13343896384 is an apocalyptic number.

13343896384 is a gapful number since it is divisible by the number (14) 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 13343896384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304000).

13343896384 is an abundant number, since it is smaller than the sum of its proper divisors (23524711616).

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

13343896384 is a wasteful number, since it uses less digits than its factorization.

13343896384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 52.

The spelling of 13343896384 in words is "thirteen billion, three hundred forty-three million, eight hundred ninety-six thousand, three hundred eighty-four".