13935330304 has 297 divisors, whose sum is σ = 35569709829. Its totient is φ = 5439651840.

The previous prime is 13935330289. The next prime is 13935330317. The reversal of 13935330304 is 40303353931.

The square root of 13935330304 is 118048.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10849305600 + 3086024704 = 104160^2 + 55552^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13935330304.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 449526769 + ... + 449526799.

Almost surely, 2^13935330304 is an apocalyptic number.

13935330304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13935330304 is the 118048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13935330304

13935330304 is an abundant number, since it is smaller than the sum of its proper divisors (21634379525).

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

13935330304 is an equidigital number, since it uses as much as digits as its factorization.

13935330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 34.

The spelling of 13935330304 in words is "thirteen billion, nine hundred thirty-five million, three hundred thirty thousand, three hundred four".