216071742985641 has 81 divisors (see below), whose sum is σ = 318273683234871. Its totient is φ = 141255152438400.

The previous prime is 216071742985621. The next prime is 216071742985649. The reversal of 216071742985641 is 146589247170612.

It is a happy number.

The square root of 216071742985641 is 14699379.

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

216071742985641 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 71 + 7 + 429 + 85 + 64 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3807357050025 + 212264385935616 = 1951245^2 + 14569296^2 .

It is not a de Polignac number, because 216071742985641 - 2¹⁵ = 216071742952873 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (216071742985649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 652784721846 + ... + 652784722176.

Almost surely, 2^{216071742985641} is an apocalyptic number.

216071742985641 is the 14699379-th square number.

216071742985641 is the 7349690-th centered octagonal number.

It is an amenable number.

216071742985641 is a deficient number, since it is larger than the sum of its proper divisors (102201940249230).

216071742985641 is an frugal number, since it uses more digits than its factorization.

216071742985641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 216071742985641 in words is "two hundred sixteen trillion, seventy-one billion, seven hundred forty-two million, nine hundred eighty-five thousand, six hundred forty-one".