218156253184 has 135 divisors (see below), whose sum is σ = 452281360951. Its totient is φ = 105221980160.

The previous prime is 218156253181. The next prime is 218156253239. The reversal of 218156253184 is 481352651812.

The square root of 218156253184 is 467072.

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

It can be written as a sum of positive squares in 4 ways, for example, as 132985667584 + 85170585600 = 364672^2 + 291840^2 .

It is a Duffinian number.

Its product of digits (460800) is a multiple of the sum of its prime factors (288).

It is not an unprimeable number, because it can be changed into a prime (218156253181) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2451193812 + ... + 2451193900.

Almost surely, 2^218156253184 is an apocalyptic number.

218156253184 is the 467072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218156253184

218156253184 is an abundant number, since it is smaller than the sum of its proper divisors (234125107767).

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

218156253184 is an frugal number, since it uses more digits than its factorization.

218156253184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 132 counting only the distinct ones).

The product of its digits is 460800, while the sum is 46.

The spelling of 218156253184 in words is "two hundred eighteen billion, one hundred fifty-six million, two hundred fifty-three thousand, one hundred eighty-four".