218042831803104 has 1152 divisors, whose sum is σ = 849922893840384. Its totient is φ = 53326128384000.

The previous prime is 218042831803103. The next prime is 218042831803169. The reversal of 218042831803104 is 401308138240812.

218042831803104 is a `hidden beast` number, since 2 + 1 + 80 + 4 + 2 + 83 + 180 + 310 + 4 = 666.

It is a super-2 number, since 2×218042831803104² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 218042831803104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218042831803103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 686609799 + ... + 686927289.

It is an arithmetic number, because the mean of its divisors is an integer number (737780289792).

Almost surely, 2^{218042831803104} is an apocalyptic number.

218042831803104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218042831803104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424961446920192).

218042831803104 is an abundant number, since it is smaller than the sum of its proper divisors (631880062037280).

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

218042831803104 is a wasteful number, since it uses less digits than its factorization.

218042831803104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317602 (or 317582 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 218042831803104 in words is "two hundred eighteen trillion, forty-two billion, eight hundred thirty-one million, eight hundred three thousand, one hundred four".