813543026688 has 234 divisors, whose sum is σ = 2733619649904. Its totient is φ = 232440348672.

The previous prime is 813543026683. The next prime is 813543026759. The reversal of 813543026688 is 886620345318.

813543026688 is a `hidden beast` number, since 8 + 13 + 543 + 0 + 2 + 6 + 6 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813543026683) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1581145 + ... + 2031527.

It is an arithmetic number, because the mean of its divisors is an integer number (11682135256).

Almost surely, 2^813543026688 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 813543026688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366809824952).

813543026688 is an abundant number, since it is smaller than the sum of its proper divisors (1920076623216).

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

813543026688 is a wasteful number, since it uses less digits than its factorization.

813543026688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450427 (or 450395 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 813543026688 in words is "eight hundred thirteen billion, five hundred forty-three million, twenty-six thousand, six hundred eighty-eight".