866142816 has 288 divisors, whose sum is σ = 3040571520. Its totient is φ = 212889600.

The previous prime is 866142803. The next prime is 866142847. The reversal of 866142816 is 618241668.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982696 + ... + 983576.

It is an arithmetic number, because the mean of its divisors is an integer number (10557540).

Almost surely, 2^866142816 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 866142816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520285760).

866142816 is an abundant number, since it is smaller than the sum of its proper divisors (2174428704).

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

866142816 is a wasteful number, since it uses less digits than its factorization.

866142816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 923 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 866142816 is about 29430.3043817083. The cubic root of 866142816 is about 953.2273673386.

The spelling of 866142816 in words is "eight hundred sixty-six million, one hundred forty-two thousand, eight hundred sixteen".