809131865769612 has 864 divisors, whose sum is σ = 2802958116618240. Its totient is φ = 203384229048000.

The previous prime is 809131865769559. The next prime is 809131865769613. The reversal of 809131865769612 is 216967568131908.

809131865769612 is a `hidden beast` number, since 8 + 0 + 9 + 1 + 31 + 8 + 6 + 576 + 9 + 6 + 12 = 666.

It is a super-2 number, since 2×809131865769612² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (809131865769613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1607622037 + ... + 1608125267.

Almost surely, 2^{809131865769612} 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 809131865769612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401479058309120).

809131865769612 is an abundant number, since it is smaller than the sum of its proper divisors (1993826250848628).

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

809131865769612 is a wasteful number, since it uses less digits than its factorization.

809131865769612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503323 (or 503285 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 809131865769612 in words is "eight hundred nine trillion, one hundred thirty-one billion, eight hundred sixty-five million, seven hundred sixty-nine thousand, six hundred twelve".