813596138784 has 864 divisors, whose sum is σ = 2853495013824. Its totient is φ = 217767813120.

The previous prime is 813596138777. The next prime is 813596138807. The reversal of 813596138784 is 487831695318.

813596138784 is a `hidden beast` number, since 8 + 1 + 3 + 5 + 9 + 613 + 8 + 7 + 8 + 4 = 666.

It is a super-3 number, since 3×813596138784³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1327236462 + ... + 1327237074.

It is an arithmetic number, because the mean of its divisors is an integer number (3302656266).

Almost surely, 2^813596138784 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 813596138784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426747506912).

813596138784 is an abundant number, since it is smaller than the sum of its proper divisors (2039898875040).

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

813596138784 is a wasteful number, since it uses less digits than its factorization.

813596138784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 746 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 813596138784 in words is "eight hundred thirteen billion, five hundred ninety-six million, one hundred thirty-eight thousand, seven hundred eighty-four".