812941305696 has 252 divisors, whose sum is σ = 2598417226188. Its totient is φ = 250134573312.

The previous prime is 812941305667. The next prime is 812941305727. The reversal of 812941305696 is 696503149218.

812941305696 is a `hidden beast` number, since 8 + 1 + 2 + 9 + 41 + 30 + 569 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3839331 + ... + 4045533.

It is an arithmetic number, because the mean of its divisors is an integer number (10311179469).

Almost surely, 2^812941305696 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 812941305696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299208613094).

812941305696 is an abundant number, since it is smaller than the sum of its proper divisors (1785475920492).

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

812941305696 is a wasteful number, since it uses less digits than its factorization.

812941305696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206257 (or 206221 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 812941305696 in words is "eight hundred twelve billion, nine hundred forty-one million, three hundred five thousand, six hundred ninety-six".