13609513402368 has 1920 divisors, whose sum is σ = 47181460193280. Its totient is φ = 3438154874880.

The previous prime is 13609513402367. The next prime is 13609513402403. The reversal of 13609513402368 is 86320431590631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 13609513402368.

It is not an unprimeable number, because it can be changed into a prime (13609513402367) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223106777058 + ... + 223106777118.

It is an arithmetic number, because the mean of its divisors is an integer number (24573677184).

Almost surely, 2^{13609513402368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13609513402368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23590730096640).

13609513402368 is an abundant number, since it is smaller than the sum of its proper divisors (33571946790912).

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

13609513402368 is a wasteful number, since it uses less digits than its factorization.

13609513402368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

Adding to 13609513402368 its reverse (86320431590631), we get a palindrome (99929944992999).

The spelling of 13609513402368 in words is "thirteen trillion, six hundred nine billion, five hundred thirteen million, four hundred two thousand, three hundred sixty-eight".