66345013017 has 24 divisors (see below), whose sum is σ = 97637129928. Its totient is φ = 43404480000.

The previous prime is 66345012971. The next prime is 66345013019. The reversal of 66345013017 is 71031054366.

66345013017 is a `hidden beast` number, since 6 + 6 + 345 + 0 + 1 + 301 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 449609616 + 65895403401 = 21204^2 + 256701^2 .

It is not a de Polignac number, because 66345013017 - 2¹² = 66345008921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66345013019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220234 + ... + 425667.

It is an arithmetic number, because the mean of its divisors is an integer number (4068213747).

Almost surely, 2^66345013017 is an apocalyptic number.

It is an amenable number.

66345013017 is a deficient number, since it is larger than the sum of its proper divisors (31292116911).

66345013017 is a wasteful number, since it uses less digits than its factorization.

66345013017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646121 (or 646118 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 66345013017 in words is "sixty-six billion, three hundred forty-five million, thirteen thousand, seventeen".