13364028288 has 192 divisors, whose sum is σ = 41561454480. Its totient is φ = 4097433600.

The previous prime is 13364028259. The next prime is 13364028289. The reversal of 13364028288 is 88282046331.

13364028288 is a `hidden beast` number, since 1 + 3 + 364 + 0 + 2 + 8 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13364028289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4686063 + ... + 4688913.

Almost surely, 2^13364028288 is an apocalyptic number.

13364028288 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 13364028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20780727240).

13364028288 is an abundant number, since it is smaller than the sum of its proper divisors (28197426192).

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

13364028288 is a wasteful number, since it uses less digits than its factorization.

13364028288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13364028288 in words is "thirteen billion, three hundred sixty-four million, twenty-eight thousand, two hundred eighty-eight".