809143660416 has 256 divisors, whose sum is σ = 2647224115200. Its totient is φ = 213243494400.

The previous prime is 809143660397. The next prime is 809143660421. The reversal of 809143660416 is 614066341908.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 52023841 + ... + 52039391.

It is an arithmetic number, because the mean of its divisors is an integer number (10340719200).

Almost surely, 2^809143660416 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 809143660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323612057600).

809143660416 is an abundant number, since it is smaller than the sum of its proper divisors (1838080454784).

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

809143660416 is a wasteful number, since it uses less digits than its factorization.

809143660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17077 (or 17065 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 809143660416 in words is "eight hundred nine billion, one hundred forty-three million, six hundred sixty thousand, four hundred sixteen".