218337656400241 has 16 divisors (see below), whose sum is σ = 252144131226624. Its totient is φ = 185187807201744.

The previous prime is 218337656400211. The next prime is 218337656400359. The reversal of 218337656400241 is 142004656733812.

It is a cyclic number.

It is not a de Polignac number, because 218337656400241 - 2⁹ = 218337656399729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (218337656400211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114905455 + ... + 116790148.

It is an arithmetic number, because the mean of its divisors is an integer number (15759008201664).

Almost surely, 2^{218337656400241} is an apocalyptic number.

It is an amenable number.

218337656400241 is a deficient number, since it is larger than the sum of its proper divisors (33806474826383).

218337656400241 is a wasteful number, since it uses less digits than its factorization.

218337656400241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231697020.

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 218337656400241 in words is "two hundred eighteen trillion, three hundred thirty-seven billion, six hundred fifty-six million, four hundred thousand, two hundred forty-one".