812292383232 has 810 divisors, whose sum is σ = 2776417640997. Its totient is φ = 228406886400.

The previous prime is 812292383207. The next prime is 812292383333. The reversal of 812292383232 is 232383292218.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

812292383232 is a `hidden beast` number, since 8 + 1 + 2 + 292 + 38 + 323 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 743430226176 + 68862157056 = 862224^2 + 262416^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=637296.

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

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 80 ways as a sum of consecutive naturals, for example, 11440737757 + ... + 11440737827.

Almost surely, 2^812292383232 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 812292383232

812292383232 is an abundant number, since it is smaller than the sum of its proper divisors (1964125257765).

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

812292383232 is a wasteful number, since it uses less digits than its factorization.

812292383232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 104 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 812292383232 in words is "eight hundred twelve billion, two hundred ninety-two million, three hundred eighty-three thousand, two hundred thirty-two".