813805805016 has 192 divisors, whose sum is σ = 2283294873600. Its totient is φ = 261693679104.

The previous prime is 813805804997. The next prime is 813805805017. The reversal of 813805805016 is 610508508318.

813805805016 is a `hidden beast` number, since 8 + 1 + 3 + 8 + 0 + 580 + 50 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813805805017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182588260 + ... + 182592716.

It is an arithmetic number, because the mean of its divisors is an integer number (11892160800).

Almost surely, 2^813805805016 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 813805805016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141647436800).

813805805016 is an abundant number, since it is smaller than the sum of its proper divisors (1469489068584).

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

813805805016 is a wasteful number, since it uses less digits than its factorization.

813805805016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5278 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 813805805016 in words is "eight hundred thirteen billion, eight hundred five million, eight hundred five thousand, sixteen".