218528200900 has 27 divisors (see below), whose sum is σ = 474216340269. Its totient is φ = 87409410480.

The previous prime is 218528200871. The next prime is 218528200951. The reversal of 218528200900 is 9002825812.

The square root of 218528200900 is 467470.

It is a perfect power (a square), and thus also a powerful number.

218528200900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 78670152324 + 139858048576 = 280482^2 + 373976^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 218528200900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4651327 + ... + 4698073.

Almost surely, 2^218528200900 is an apocalyptic number.

218528200900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

218528200900 is the 467470-th square number.

It is an amenable number.

218528200900 is an abundant number, since it is smaller than the sum of its proper divisors (255688139369).

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

218528200900 is an frugal number, since it uses more digits than its factorization.

218528200900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93508 (or 46754 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 218528200900 in words is "two hundred eighteen billion, five hundred twenty-eight million, two hundred thousand, nine hundred".