83500832618641 has 9 divisors (see below), whose sum is σ = 88127100767163. Its totient is φ = 79105887472680.

The previous prime is 83500832618617. The next prime is 83500832618773. The reversal of 83500832618641 is 14681623800538.

It is a happy number.

The square root of 83500832618641 is 9137879.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 62731484743041 + 20769347875600 = 7920321^2 + 4557340^2 .

It is not a de Polignac number, because 83500832618641 - 2¹⁵ = 83500832585873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83500832618041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 173379231 + ... + 173860171.

Almost surely, 2^{83500832618641} is an apocalyptic number.

83500832618641 is the 9137879-th square number.

83500832618641 is the 4568940-th centered octagonal number.

It is an amenable number.

83500832618641 is a deficient number, since it is larger than the sum of its proper divisors (4626268148522).

83500832618641 is an frugal number, since it uses more digits than its factorization.

83500832618641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961920 (or 480960 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 83500832618641 in words is "eighty-three trillion, five hundred billion, eight hundred thirty-two million, six hundred eighteen thousand, six hundred forty-one".