812311344 has 180 divisors, whose sum is σ = 2548765440. Its totient is φ = 241113600.

The previous prime is 812311343. The next prime is 812311361. The reversal of 812311344 is 443113218.

812311344 is a `hidden beast` number, since 8 + 1 + 2 + 311 + 344 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (812311343) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 705169 + ... + 706319.

It is an arithmetic number, because the mean of its divisors is an integer number (14159808).

Almost surely, 2^812311344 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 812311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274382720).

812311344 is an abundant number, since it is smaller than the sum of its proper divisors (1736454096).

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

812311344 is a wasteful number, since it uses less digits than its factorization.

812311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1198 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 812311344 is about 28501.0761902073. The cubic root of 812311344 is about 933.0555620113.

The spelling of 812311344 in words is "eight hundred twelve million, three hundred eleven thousand, three hundred forty-four".