8193333918 has 128 divisors (see below), whose sum is σ = 21028045824. Its totient is φ = 2066688000.

The previous prime is 8193333917. The next prime is 8193333937.

8193333918 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8193333917) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2471430 + ... + 2474742.

It is an arithmetic number, because the mean of its divisors is an integer number (164281608).

Almost surely, 2^8193333918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8193333918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10514022912).

8193333918 is an abundant number, since it is smaller than the sum of its proper divisors (12834711906).

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

8193333918 is a wasteful number, since it uses less digits than its factorization.

8193333918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490.

The product of its digits is 419904, while the sum is 48.

The square root of 8193333918 is about 90517.0366174236. The cubic root of 8193333918 is about 2015.9830899982.

The spelling of 8193333918 in words is "eight billion, one hundred ninety-three million, three hundred thirty-three thousand, nine hundred eighteen".