813822613632 has 216 divisors, whose sum is σ = 2724921377685. Its totient is φ = 232459508736.

The previous prime is 813822613619. The next prime is 813822613711. The reversal of 813822613632 is 236316228318.

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.

813822613632 is a `hidden beast` number, since 8 + 1 + 3 + 8 + 2 + 2 + 6 + 1 + 3 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 499532314176 + 314290299456 = 706776^2 + 560616^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=637896.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 214331158 + ... + 214334954.

Almost surely, 2^813822613632 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 813822613632

813822613632 is an abundant number, since it is smaller than the sum of its proper divisors (1911098764053).

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

813822613632 is an frugal number, since it uses more digits than its factorization.

813822613632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 3809 counting only the distinct ones).

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

The spelling of 813822613632 in words is "eight hundred thirteen billion, eight hundred twenty-two million, six hundred thirteen thousand, six hundred thirty-two".