13065323691168 has 288 divisors, whose sum is σ = 43088350556160. Its totient is φ = 3678107097600.

The previous prime is 13065323691151. The next prime is 13065323691227. The reversal of 13065323691168 is 86119632356031.

13065323691168 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 532 + 3 + 6 + 91 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77477343 + ... + 77645793.

It is an arithmetic number, because the mean of its divisors is an integer number (149612328320).

Almost surely, 2^{13065323691168} is an apocalyptic number.

13065323691168 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 13065323691168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21544175278080).

13065323691168 is an abundant number, since it is smaller than the sum of its proper divisors (30023026864992).

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

13065323691168 is a wasteful number, since it uses less digits than its factorization.

13065323691168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169040 (or 169029 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 13065323691168 in words is "thirteen trillion, sixty-five billion, three hundred twenty-three million, six hundred ninety-one thousand, one hundred sixty-eight".