36776667344441 has 2 divisors, whose sum is σ = 36776667344442. Its totient is φ = 36776667344440.

The previous prime is 36776667344429. The next prime is 36776667344447. The reversal of 36776667344441 is 14444376667763.

36776667344441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31773750986041 + 5002916358400 = 5636821^2 + 2236720^2 .

It is a cyclic number.

It is not a de Polignac number, because 36776667344441 - 2³⁸ = 36501789437497 is a prime.

It is not a weakly prime, because it can be changed into another prime (36776667344447) 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 as a sum of consecutive naturals, namely, 18388333672220 + 18388333672221.

It is an arithmetic number, because the mean of its divisors is an integer number (18388333672221).

Almost surely, 2^{36776667344441} is an apocalyptic number.

It is an amenable number.

36776667344441 is a deficient number, since it is larger than the sum of its proper divisors (1).

36776667344441 is an equidigital number, since it uses as much as digits as its factorization.

36776667344441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1024192512, while the sum is 68.

The spelling of 36776667344441 in words is "thirty-six trillion, seven hundred seventy-six billion, six hundred sixty-seven million, three hundred forty-four thousand, four hundred forty-one".