218305517829 has 16 divisors (see below), whose sum is σ = 332663660160. Its totient is φ = 124743147840.

The previous prime is 218305517827. The next prime is 218305517861. The reversal of 218305517829 is 928715503812.

It is not a de Polignac number, because 218305517829 - 2¹ = 218305517827 is a prime.

It is a super-2 number, since 2×218305517829² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218305517827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1114599 + ... + 1295739.

It is an arithmetic number, because the mean of its divisors is an integer number (20791478760).

Almost surely, 2^218305517829 is an apocalyptic number.

It is an amenable number.

218305517829 is a deficient number, since it is larger than the sum of its proper divisors (114358142331).

218305517829 is a wasteful number, since it uses less digits than its factorization.

218305517829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238540.

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 218305517829 in words is "two hundred eighteen billion, three hundred five million, five hundred seventeen thousand, eight hundred twenty-nine".