218394524929 has 27 divisors (see below), whose sum is σ = 256979805993. Its totient is φ = 185061492000.

The previous prime is 218394524911. The next prime is 218394524993. The reversal of 218394524929 is 929425493812.

It is a happy number.

The square root of 218394524929 is 467327.

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 134085595329 + 84308929600 = 366177^2 + 290360^2 .

It is not a de Polignac number, because 218394524929 - 2¹¹ = 218394522881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218394524129) 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, 330399859 + ... + 330400519.

Almost surely, 2^218394524929 is an apocalyptic number.

218394524929 is the 467327-th square number.

218394524929 is the 233664-th centered octagonal number.

It is an amenable number.

218394524929 is a deficient number, since it is larger than the sum of its proper divisors (38585281064).

218394524929 is an frugal number, since it uses more digits than its factorization.

218394524929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 769 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 58.

The spelling of 218394524929 in words is "two hundred eighteen billion, three hundred ninety-four million, five hundred twenty-four thousand, nine hundred twenty-nine".