218179656000409 has 2 divisors, whose sum is σ = 218179656000410. Its totient is φ = 218179656000408.

The previous prime is 218179656000347. The next prime is 218179656000463. The reversal of 218179656000409 is 904000656971812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125769944678400 + 92409711322009 = 11214720^2 + 9612997^2 .

It is a cyclic number.

It is not a de Polignac number, because 218179656000409 - 2²³ = 218179647611801 is a prime.

It is not a weakly prime, because it can be changed into another prime (218179656003409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109089828000204 + 109089828000205.

It is an arithmetic number, because the mean of its divisors is an integer number (109089828000205).

Almost surely, 2^{218179656000409} is an apocalyptic number.

It is an amenable number.

218179656000409 is a deficient number, since it is larger than the sum of its proper divisors (1).

218179656000409 is an equidigital number, since it uses as much as digits as its factorization.

218179656000409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 218179656000409 in words is "two hundred eighteen trillion, one hundred seventy-nine billion, six hundred fifty-six million, four hundred nine", and thus it is an aban number.