813099854112 has 768 divisors, whose sum is σ = 2796728352768. Its totient is φ = 201110999040.

The previous prime is 813099854023. The next prime is 813099854117. The reversal of 813099854112 is 211458990318.

It is a super-2 number, since 2×813099854112² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (813099854117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1616500453 + ... + 1616500955.

It is an arithmetic number, because the mean of its divisors is an integer number (3641573376).

Almost surely, 2^813099854112 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 813099854112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398364176384).

813099854112 is an abundant number, since it is smaller than the sum of its proper divisors (1983628498656).

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

813099854112 is a wasteful number, since it uses less digits than its factorization.

813099854112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 813099854112 in words is "eight hundred thirteen billion, ninety-nine million, eight hundred fifty-four thousand, one hundred twelve".