218822728512 has 112 divisors (see below), whose sum is σ = 604429372800. Its totient is φ = 69779404800.

The previous prime is 218822728511. The next prime is 218822728529. The reversal of 218822728512 is 215827228812.

218822728512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218822728511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426637 + ... + 787187.

Almost surely, 2^218822728512 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 218822728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302214686400).

218822728512 is an abundant number, since it is smaller than the sum of its proper divisors (385606644288).

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

218822728512 is a wasteful number, since it uses less digits than its factorization.

218822728512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360704 (or 360694 counting only the distinct ones).

The product of its digits is 573440, while the sum is 48.

The spelling of 218822728512 in words is "two hundred eighteen billion, eight hundred twenty-two million, seven hundred twenty-eight thousand, five hundred twelve".