13304238336 has 243 divisors, whose sum is σ = 40285324261. Its totient is φ = 4384917504.

The previous prime is 13304238329. The next prime is 13304238341. The reversal of 13304238336 is 63383240331.

The square root of 13304238336 is 115344.

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

13304238336 is a `hidden beast` number, since 13 + 304 + 2 + 3 + 8 + 336 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2554695936 + 10749542400 = 50544^2 + 103680^2 .

It is a tau number, because it is divible by the number of its divisors (243).

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

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 13304238336.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 149485780 + ... + 149485868.

Almost surely, 2^13304238336 is an apocalyptic number.

13304238336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13304238336 is the 115344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13304238336

13304238336 is an abundant number, since it is smaller than the sum of its proper divisors (26981085925).

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

13304238336 is an frugal number, since it uses more digits than its factorization.

13304238336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Multiplying 13304238336 by its sum of digits (36), we get a square (478952580096 = 692064²).

13304238336 divided by its sum of digits (36) gives a square (369562176 = 19224²).

Adding to 13304238336 its reverse (63383240331), we get a palindrome (76687478667).

The spelling of 13304238336 in words is "thirteen billion, three hundred four million, two hundred thirty-eight thousand, three hundred thirty-six".