66133467117 has 20 divisors (see below), whose sum is σ = 98871217500. Its totient is φ = 44053611264.

The previous prime is 66133467109. The next prime is 66133467193. The reversal of 66133467117 is 71176433166.

66133467117 is a `hidden beast` number, since 66 + 13 + 3 + 467 + 117 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18307713636 + 47825753481 = 135306^2 + 218691^2 .

It is not a de Polignac number, because 66133467117 - 2³ = 66133467109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66133467217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 225678 + ... + 428015.

It is an arithmetic number, because the mean of its divisors is an integer number (4943560875).

Almost surely, 2^66133467117 is an apocalyptic number.

It is an amenable number.

66133467117 is a deficient number, since it is larger than the sum of its proper divisors (32737750383).

66133467117 is a wasteful number, since it uses less digits than its factorization.

66133467117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654954 (or 654945 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 66133467117 in words is "sixty-six billion, one hundred thirty-three million, four hundred sixty-seven thousand, one hundred seventeen".