13324338292800 has 336 divisors, whose sum is σ = 44792906445504. Its totient is φ = 3465584640000.

The previous prime is 13324338292663. The next prime is 13324338292843. The reversal of 13324338292800 is 829283342331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13324338292800.

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, 1088494680 + ... + 1088506920.

It is an arithmetic number, because the mean of its divisors is an integer number (133312221564).

Almost surely, 2^{13324338292800} is an apocalyptic number.

13324338292800 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 13324338292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22396453222752).

13324338292800 is an abundant number, since it is smaller than the sum of its proper divisors (31468568152704).

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

13324338292800 is a wasteful number, since it uses less digits than its factorization.

13324338292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17838 (or 17823 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 13324338292800 in words is "thirteen trillion, three hundred twenty-four billion, three hundred thirty-eight million, two hundred ninety-two thousand, eight hundred".