13304204641728 has 1792 divisors, whose sum is σ = 53735750369280. Its totient is φ = 3116471500800.

The previous prime is 13304204641681. The next prime is 13304204641769. The reversal of 13304204641728 is 82714640240331.

13304204641728 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 4 + 204 + 6 + 417 + 28 = 666.

It is a super-2 number, since 2×13304204641728² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15596956950 + ... + 15596957802.

It is an arithmetic number, because the mean of its divisors is an integer number (29986467840).

Almost surely, 2^{13304204641728} is an apocalyptic number.

13304204641728 is a gapful number since it is divisible by the number (18) 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 13304204641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26867875184640).

13304204641728 is an abundant number, since it is smaller than the sum of its proper divisors (40431545727552).

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

13304204641728 is a wasteful number, since it uses less digits than its factorization.

13304204641728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 13304204641728 in words is "thirteen trillion, three hundred four billion, two hundred four million, six hundred forty-one thousand, seven hundred twenty-eight".