13304689614864 has 200 divisors, whose sum is σ = 38859571509792. Its totient is φ = 4394465187840.

The previous prime is 13304689614851. The next prime is 13304689614919. The reversal of 13304689614864 is 46841698640331.

13304689614864 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 4 + 6 + 8 + 9 + 614 + 8 + 6 + 4 = 666.

It is a super-5 number, since 5×13304689614864⁵ (a number of 67 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114201027 + ... + 114317469.

Almost surely, 2^{13304689614864} 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 13304689614864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19429785754896).

13304689614864 is an abundant number, since it is smaller than the sum of its proper divisors (25554881894928).

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

13304689614864 is a wasteful number, since it uses less digits than its factorization.

13304689614864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117267 (or 117252 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 13304689614864 in words is "thirteen trillion, three hundred four billion, six hundred eighty-nine million, six hundred fourteen thousand, eight hundred sixty-four".