216763805241 has 75 divisors (see below), whose sum is σ = 345978175081. Its totient is φ = 135248837184.

The previous prime is 216763805227. The next prime is 216763805273. The reversal of 216763805241 is 142508367612.

The square root of 216763805241 is 465579.

It is a perfect power (a square), and thus also a powerful number.

216763805241 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 638 + 0 + 5 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67273315641 + 149490489600 = 259371^2 + 386640^2 .

It is not a de Polignac number, because 216763805241 - 2⁷ = 216763805113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216763805341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1210970890 + ... + 1210971068.

Almost surely, 2^216763805241 is an apocalyptic number.

216763805241 is the 465579-th square number.

216763805241 is the 232790-th centered octagonal number.

It is an amenable number.

216763805241 is a deficient number, since it is larger than the sum of its proper divisors (129214369840).

216763805241 is an frugal number, since it uses more digits than its factorization.

216763805241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 216763805241 in words is "two hundred sixteen billion, seven hundred sixty-three million, eight hundred five thousand, two hundred forty-one".