218764804729 has 27 divisors (see below), whose sum is σ = 234127697733. Its totient is φ = 204379983864.

The previous prime is 218764804723. The next prime is 218764804747. The reversal of 218764804729 is 927408467812.

The square root of 218764804729 is 467723.

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

It is not a de Polignac number, because 218764804729 - 2¹⁷ = 218764673657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (218764804723) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 915333792 + ... + 915334030.

Almost surely, 2^218764804729 is an apocalyptic number.

218764804729 is the 467723-rd square number.

218764804729 is the 233862-nd centered octagonal number.

It is an amenable number.

218764804729 is a deficient number, since it is larger than the sum of its proper divisors (15362893004).

218764804729 is an frugal number, since it uses more digits than its factorization.

218764804729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 218764804729 in words is "two hundred eighteen billion, seven hundred sixty-four million, eight hundred four thousand, seven hundred twenty-nine".