868563365868 has 288 divisors, whose sum is σ = 2549578973760. Its totient is φ = 246781624320.

The previous prime is 868563365819. The next prime is 868563365881.

868563365868 is a `hidden beast` number, since 8 + 6 + 8 + 5 + 6 + 3 + 36 + 586 + 8 = 666.

868563365868 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 868563365796 and 868563365805.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262166580 + ... + 262169892.

It is an arithmetic number, because the mean of its divisors is an integer number (8852704770).

Almost surely, 2^868563365868 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 868563365868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274789486880).

868563365868 is an abundant number, since it is smaller than the sum of its proper divisors (1681015607892).

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

868563365868 is a wasteful number, since it uses less digits than its factorization.

868563365868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4012 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 868563365868 in words is "eight hundred sixty-eight billion, five hundred sixty-three million, three hundred sixty-five thousand, eight hundred sixty-eight".