866846442816 has 168 divisors, whose sum is σ = 2595226976160. Its totient is φ = 286869330432.

The previous prime is 866846442799. The next prime is 866846442823. The reversal of 866846442816 is 618244648668.

866846442816 is a `hidden beast` number, since 8 + 66 + 84 + 64 + 428 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1961230 + ... + 2362226.

It is an arithmetic number, because the mean of its divisors is an integer number (15447779620).

Almost surely, 2^866846442816 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 866846442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297613488080).

866846442816 is an abundant number, since it is smaller than the sum of its proper divisors (1728380533344).

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

866846442816 is a wasteful number, since it uses less digits than its factorization.

866846442816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401163 (or 401141 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 63.

The spelling of 866846442816 in words is "eight hundred sixty-six billion, eight hundred forty-six million, four hundred forty-two thousand, eight hundred sixteen".