218349663841 has 9 divisors (see below), whose sum is σ = 231957735699. Its totient is φ = 205498089504.

The previous prime is 218349663823. The next prime is 218349663929. The reversal of 218349663841 is 148366943812.

The square root of 218349663841 is 467279.

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., 169995413025 + 48354250816 = 412305^2 + 219896^2 .

It is not a de Polignac number, because 218349663841 - 2¹¹ = 218349661793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218349663821) 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, 7930000 + ... + 7957486.

Almost surely, 2^218349663841 is an apocalyptic number.

218349663841 is the 467279-th square number.

218349663841 is the 233640-th centered octagonal number.

It is an amenable number.

218349663841 is a deficient number, since it is larger than the sum of its proper divisors (13608071858).

218349663841 is an frugal number, since it uses more digits than its factorization.

218349663841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55008 (or 27504 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 55.

The spelling of 218349663841 in words is "two hundred eighteen billion, three hundred forty-nine million, six hundred sixty-three thousand, eight hundred forty-one".