866716411344 has 160 divisors (see below), whose sum is σ = 2592413122560. Its totient is φ = 244408098816.

The previous prime is 866716411189. The next prime is 866716411357. The reversal of 866716411344 is 443114617668.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8183077 + ... + 8288315.

It is an arithmetic number, because the mean of its divisors is an integer number (16202582016).

Almost surely, 2^866716411344 is an apocalyptic number.

866716411344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866716411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296206561280).

866716411344 is an abundant number, since it is smaller than the sum of its proper divisors (1725696711216).

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

866716411344 is a wasteful number, since it uses less digits than its factorization.

866716411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105577 (or 105571 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The spelling of 866716411344 in words is "eight hundred sixty-six billion, seven hundred sixteen million, four hundred eleven thousand, three hundred forty-four".