13383304704 has 720 divisors, whose sum is σ = 50714087424. Its totient is φ = 3448811520.

The previous prime is 13383304687. The next prime is 13383304709. The reversal of 13383304704 is 40740338331.

It is a super-2 number, since 2×13383304704² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13383304709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105380289 + ... + 105380415.

Almost surely, 2^13383304704 is an apocalyptic number.

13383304704 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 13383304704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25357043712).

13383304704 is an abundant number, since it is smaller than the sum of its proper divisors (37330782720).

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

13383304704 is an equidigital number, since it uses as much as digits as its factorization.

13383304704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13383304704 in words is "thirteen billion, three hundred eighty-three million, three hundred four thousand, seven hundred four".