218812814401 has 2 divisors, whose sum is σ = 218812814402. Its totient is φ = 218812814400.

The previous prime is 218812814383. The next prime is 218812814411. The reversal of 218812814401 is 104418218812.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110819081025 + 107993733376 = 332895^2 + 328624^2 .

It is a cyclic number.

It is not a de Polignac number, because 218812814401 - 2¹¹ = 218812812353 is a prime.

It is not a weakly prime, because it can be changed into another prime (218812814411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109406407200 + 109406407201.

It is an arithmetic number, because the mean of its divisors is an integer number (109406407201).

Almost surely, 2^218812814401 is an apocalyptic number.

It is an amenable number.

218812814401 is a deficient number, since it is larger than the sum of its proper divisors (1).

218812814401 is an equidigital number, since it uses as much as digits as its factorization.

218812814401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32768, while the sum is 40.

The spelling of 218812814401 in words is "two hundred eighteen billion, eight hundred twelve million, eight hundred fourteen thousand, four hundred one".