83645638165 has 16 divisors (see below), whose sum is σ = 100625876208. Its totient is φ = 66749318656.

The previous prime is 83645638129. The next prime is 83645638189. The reversal of 83645638165 is 56183654638.

It can be written as a sum of positive squares in 8 ways, for example, as 3466618884 + 80179019281 = 58878^2 + 283159^2 .

It is a cyclic number.

It is not a de Polignac number, because 83645638165 - 2¹³ = 83645629973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3299679 + ... + 3324931.

It is an arithmetic number, because the mean of its divisors is an integer number (6289117263).

Almost surely, 2^83645638165 is an apocalyptic number.

It is an amenable number.

83645638165 is a deficient number, since it is larger than the sum of its proper divisors (16980238043).

83645638165 is a wasteful number, since it uses less digits than its factorization.

83645638165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26888.

The product of its digits is 12441600, while the sum is 55.

The spelling of 83645638165 in words is "eighty-three billion, six hundred forty-five million, six hundred thirty-eight thousand, one hundred sixty-five".