812386656768 has 160 divisors (see below), whose sum is σ = 2240013504960. Its totient is φ = 261325209600.

The previous prime is 812386656713. The next prime is 812386656779. The reversal of 812386656768 is 867656683218.

It is a junction number, because it is equal to n+sod(n) for n = 812386656699 and 812386656708.

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 15 ways as a sum of consecutive naturals, for example, 126991746 + ... + 126998142.

It is an arithmetic number, because the mean of its divisors is an integer number (14000084406).

Almost surely, 2^812386656768 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 812386656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120006752480).

812386656768 is an abundant number, since it is smaller than the sum of its proper divisors (1427626848192).

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

812386656768 is a wasteful number, since it uses less digits than its factorization.

812386656768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9298 (or 9282 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 66.

The spelling of 812386656768 in words is "eight hundred twelve billion, three hundred eighty-six million, six hundred fifty-six thousand, seven hundred sixty-eight".