66334036774041 has 27 divisors (see below), whose sum is σ = 96311663307613. Its totient is φ = 43995017844960.

The previous prime is 66334036773929. The next prime is 66334036774051. The reversal of 66334036774041 is 14047763043366.

The square root of 66334036774041 is 8144571.

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

66334036774041 is a `hidden beast` number, since 66 + 33 + 403 + 6 + 77 + 40 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28488212379225 + 37845824394816 = 5337435^2 + 6151896^2 .

It is not a de Polignac number, because 66334036774041 - 2²⁵ = 66334003219609 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66334036774051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4813434571 + ... + 4813448351.

Almost surely, 2^{66334036774041} is an apocalyptic number.

66334036774041 is the 8144571-st square number.

66334036774041 is the 4072286-th centered octagonal number.

It is an amenable number.

66334036774041 is a deficient number, since it is larger than the sum of its proper divisors (29977626533572).

66334036774041 is an frugal number, since it uses more digits than its factorization.

66334036774041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27962 (or 13981 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 66334036774041 in words is "sixty-six trillion, three hundred thirty-four billion, thirty-six million, seven hundred seventy-four thousand, forty-one".