218404495713601 has 8 divisors (see below), whose sum is σ = 219106348584840. Its totient is φ = 217702668797952.

The previous prime is 218404495713581. The next prime is 218404495713611. The reversal of 218404495713601 is 106317594404812.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 96922745154225 + 121481750559376 = 9844935^2 + 11021876^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-218404495713601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218404495713611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10438065 + ... + 23361553.

It is an arithmetic number, because the mean of its divisors is an integer number (27388293573105).

It is a 1-persistent number, because it is pandigital, but 2⋅218404495713601 = 436808991427202 is not.

Almost surely, 2^{218404495713601} is an apocalyptic number.

It is an amenable number.

218404495713601 is a deficient number, since it is larger than the sum of its proper divisors (701852871239).

218404495713601 is a wasteful number, since it uses less digits than its factorization.

218404495713601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12977795.

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 218404495713601 in words is "two hundred eighteen trillion, four hundred four billion, four hundred ninety-five million, seven hundred thirteen thousand, six hundred one".