13178823568 has 80 divisors (see below), whose sum is σ = 26959278960. Its totient is φ = 6231859200.

The previous prime is 13178823551. The next prime is 13178823601. The reversal of 13178823568 is 86532887131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1099055104 + 12079768464 = 33152^2 + 109908^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7952596 + ... + 7954252.

It is an arithmetic number, because the mean of its divisors is an integer number (336990987).

Almost surely, 2^13178823568 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 13178823568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13479639480).

13178823568 is an abundant number, since it is smaller than the sum of its proper divisors (13780455392).

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

13178823568 is a wasteful number, since it uses less digits than its factorization.

13178823568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2030 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 52.

The spelling of 13178823568 in words is "thirteen billion, one hundred seventy-eight million, eight hundred twenty-three thousand, five hundred sixty-eight".