218288066401 has 2 divisors, whose sum is σ = 218288066402. Its totient is φ = 218288066400.

The previous prime is 218288066383. The next prime is 218288066417. The reversal of 218288066401 is 104660882812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217364818176 + 923248225 = 466224^2 + 30385^2 .

It is a cyclic number.

It is not a de Polignac number, because 218288066401 - 2⁵ = 218288066369 is a prime.

It is not a weakly prime, because it can be changed into another prime (218228066401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109144033200 + 109144033201.

It is an arithmetic number, because the mean of its divisors is an integer number (109144033201).

Almost surely, 2^218288066401 is an apocalyptic number.

It is an amenable number.

218288066401 is a deficient number, since it is larger than the sum of its proper divisors (1).

218288066401 is an equidigital number, since it uses as much as digits as its factorization.

218288066401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 218288066401 in words is "two hundred eighteen billion, two hundred eighty-eight million, sixty-six thousand, four hundred one".