66266131345461 has 40 divisors (see below), whose sum is σ = 99085665238560. Its totient is φ = 44134798818528.

The previous prime is 66266131345439. The next prime is 66266131345523. The reversal of 66266131345461 is 16454313166266.

It is a happy number.

66266131345461 is a `hidden beast` number, since 6 + 6 + 2 + 6 + 6 + 131 + 3 + 45 + 461 = 666.

It is not a de Polignac number, because 66266131345461 - 2⁷ = 66266131345333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66266131345398 and 66266131345407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66266131345261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2247590026 + ... + 2247619508.

It is an arithmetic number, because the mean of its divisors is an integer number (2477141630964).

Almost surely, 2^{66266131345461} is an apocalyptic number.

It is an amenable number.

66266131345461 is a deficient number, since it is larger than the sum of its proper divisors (32819533893099).

66266131345461 is a wasteful number, since it uses less digits than its factorization.

66266131345461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55327 (or 55318 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 66266131345461 in words is "sixty-six trillion, two hundred sixty-six billion, one hundred thirty-one million, three hundred forty-five thousand, four hundred sixty-one".