66115166805 has 12 divisors (see below), whose sum is σ = 114599622540. Its totient is φ = 35261422272.

The previous prime is 66115166779. The next prime is 66115166809. The reversal of 66115166805 is 50866151166.

66115166805 is a `hidden beast` number, since 66 + 11 + 516 + 68 + 0 + 5 = 666.

66115166805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44805882276 + 21309284529 = 211674^2 + 145977^2 .

It is not a de Polignac number, because 66115166805 - 2¹² = 66115162709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1469225929 = 66115166805 / (6 + 6 + 1 + 1 + 5 + 1 + 6 + 6 + 8 + 0 + 5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66115166809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734612920 + ... + 734613009.

It is an arithmetic number, because the mean of its divisors is an integer number (9549968545).

Almost surely, 2^66115166805 is an apocalyptic number.

It is an amenable number.

66115166805 is a deficient number, since it is larger than the sum of its proper divisors (48484455735).

66115166805 is a wasteful number, since it uses less digits than its factorization.

66115166805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469225940 (or 1469225937 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 66115166805 in words is "sixty-six billion, one hundred fifteen million, one hundred sixty-six thousand, eight hundred five".