36073027345 has 32 divisors (see below), whose sum is σ = 47505031200. Its totient is φ = 26184093696.

The previous prime is 36073027241. The next prime is 36073027349. The reversal of 36073027345 is 54372037063.

It can be written as a sum of positive squares in 16 ways, for example, as 3419091729 + 32653935616 = 58473^2 + 180704^2 .

It is not a de Polignac number, because 36073027345 - 2¹¹ = 36073025297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36073027298 and 36073027307.

It is not an unprimeable number, because it can be changed into a prime (36073027349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290191 + ... + 395419.

It is an arithmetic number, because the mean of its divisors is an integer number (1484532225).

Almost surely, 2^36073027345 is an apocalyptic number.

It is an amenable number.

36073027345 is a deficient number, since it is larger than the sum of its proper divisors (11432003855).

36073027345 is a wasteful number, since it uses less digits than its factorization.

36073027345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105397.

The product of its (nonzero) digits is 317520, while the sum is 40.

The spelling of 36073027345 in words is "thirty-six billion, seventy-three million, twenty-seven thousand, three hundred forty-five".