809066244096 has 384 divisors, whose sum is σ = 2663961955200. Its totient is φ = 240536125440.

The previous prime is 809066244073. The next prime is 809066244113. The reversal of 809066244096 is 690442660908.

809066244096 is a `hidden beast` number, since 8 + 0 + 9 + 0 + 6 + 624 + 4 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32225020 + ... + 32250116.

It is an arithmetic number, because the mean of its divisors is an integer number (6937400925).

Almost surely, 2^809066244096 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 809066244096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331980977600).

809066244096 is an abundant number, since it is smaller than the sum of its proper divisors (1854895711104).

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

809066244096 is a wasteful number, since it uses less digits than its factorization.

809066244096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25192 (or 25166 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 809066244096 in words is "eight hundred nine billion, sixty-six million, two hundred forty-four thousand, ninety-six".