218303872900 has 27 divisors (see below), whose sum is σ = 473729543301. Its totient is φ = 87319680240.

The previous prime is 218303872883. The next prime is 218303872933. The reversal of 218303872900 is 9278303812.

The square root of 218303872900 is 467230.

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

It can be written as a sum of positive squares in only one way, i.e., 78589394244 + 139714478656 = 280338^2 + 373784^2 .

It is a Duffinian number.

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, 4648939 + ... + 4695661.

Almost surely, 2^218303872900 is an apocalyptic number.

218303872900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

218303872900 is the 467230-th square number.

It is an amenable number.

218303872900 is an abundant number, since it is smaller than the sum of its proper divisors (255425670401).

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

218303872900 is an frugal number, since it uses more digits than its factorization.

218303872900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93460 (or 46730 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 218303872900 in words is "two hundred eighteen billion, three hundred three million, eight hundred seventy-two thousand, nine hundred".