13344364000 has 288 divisors, whose sum is σ = 36599472000. Its totient is φ = 4777344000.

The previous prime is 13344363983. The next prime is 13344364037. The reversal of 13344364000 is 46344331.

13344364000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13344364000.

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 47 ways as a sum of consecutive naturals, for example, 38235826 + ... + 38236174.

It is an arithmetic number, because the mean of its divisors is an integer number (127081500).

Almost surely, 2^13344364000 is an apocalyptic number.

13344364000 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 13344364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18299736000).

13344364000 is an abundant number, since it is smaller than the sum of its proper divisors (23255108000).

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

13344364000 is a wasteful number, since it uses less digits than its factorization.

13344364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The spelling of 13344364000 in words is "thirteen billion, three hundred forty-four million, three hundred sixty-four thousand".