83146771055217 has 32 divisors (see below), whose sum is σ = 117337012079616. Its totient is φ = 52286826009600.

The previous prime is 83146771055191. The next prime is 83146771055219. The reversal of 83146771055217 is 71255017764138.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-83146771055217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83146771055219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5807748 + ... + 14142965.

It is an arithmetic number, because the mean of its divisors is an integer number (3666781627488).

Almost surely, 2^{83146771055217} is an apocalyptic number.

It is an amenable number.

83146771055217 is a deficient number, since it is larger than the sum of its proper divisors (34190241024399).

83146771055217 is a wasteful number, since it uses less digits than its factorization.

83146771055217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19951881.

The product of its (nonzero) digits is 9878400, while the sum is 57.

The spelling of 83146771055217 in words is "eighty-three trillion, one hundred forty-six billion, seven hundred seventy-one million, fifty-five thousand, two hundred seventeen".