868262262868 has 288 divisors, whose sum is σ = 2098271395584. Its totient is φ = 303575040000.

The previous prime is 868262262823. The next prime is 868262262871.

868262262868 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×868262262868³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

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, 1504786996 + ... + 1504787572.

It is an arithmetic number, because the mean of its divisors is an integer number (7285664568).

Almost surely, 2^868262262868 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 868262262868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049135697792).

868262262868 is an abundant number, since it is smaller than the sum of its proper divisors (1230009132716).

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

868262262868 is a wasteful number, since it uses less digits than its factorization.

868262262868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 772 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 64.

The spelling of 868262262868 in words is "eight hundred sixty-eight billion, two hundred sixty-two million, two hundred sixty-two thousand, eight hundred sixty-eight".