218388917041 has 27 divisors (see below), whose sum is σ = 228252529323. Its totient is φ = 208948565520.

The previous prime is 218388917029. The next prime is 218388917063. The reversal of 218388917041 is 140719883812.

The square root of 218388917041 is 467321.

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., 7101601441 + 211287315600 = 84271^2 + 459660^2 .

It is not a de Polignac number, because 218388917041 - 2²³ = 218380528433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 218388917041.

It is not an unprimeable number, because it can be changed into a prime (218388917081) 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, 1339809226 + ... + 1339809388.

Almost surely, 2^218388917041 is an apocalyptic number.

218388917041 is the 467321-st square number.

218388917041 is the 233661-st centered octagonal number.

It is an amenable number.

218388917041 is a deficient number, since it is larger than the sum of its proper divisors (9863612282).

218388917041 is an frugal number, since it uses more digits than its factorization.

218388917041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 52.

The spelling of 218388917041 in words is "two hundred eighteen billion, three hundred eighty-eight million, nine hundred seventeen thousand, forty-one".