86068443726864 has 945 divisors, whose sum is σ = 276132279553389. Its totient is φ = 25970524922880.

The previous prime is 86068443726827. The next prime is 86068443726899. The reversal of 86068443726864 is 46862734486068.

It is a happy number.

The square root of 86068443726864 is 9277308.

It is a perfect power (a square), and thus also a powerful number.

86068443726864 is a `hidden beast` number, since 8 + 6 + 0 + 68 + 443 + 7 + 2 + 68 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67008303939600 + 19060139787264 = 8185860^2 + 4365792^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86068443726792 and 86068443726801.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 528027262047 + ... + 528027262209.

Almost surely, 2^{86068443726864} is an apocalyptic number.

86068443726864 is the 9277308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86068443726864

86068443726864 is an abundant number, since it is smaller than the sum of its proper divisors (190063835826525).

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

86068443726864 is an equidigital number, since it uses as much as digits as its factorization.

86068443726864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1783627776, while the sum is 72.

The spelling of 86068443726864 in words is "eighty-six trillion, sixty-eight billion, four hundred forty-three million, seven hundred twenty-six thousand, eight hundred sixty-four".