36933637476641 has 2 divisors, whose sum is σ = 36933637476642. Its totient is φ = 36933637476640.

The previous prime is 36933637476509. The next prime is 36933637476707. The reversal of 36933637476641 is 14667473633963.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36756282788416 + 177354688225 = 6062696^2 + 421135^2 .

It is a cyclic number.

It is not a de Polignac number, because 36933637476641 - 2³⁰ = 36932563734817 is a prime.

It is not a weakly prime, because it can be changed into another prime (36933637476041) by changing a digit.

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 as a sum of consecutive naturals, namely, 18466818738320 + 18466818738321.

It is an arithmetic number, because the mean of its divisors is an integer number (18466818738321).

Almost surely, 2^{36933637476641} is an apocalyptic number.

It is an amenable number.

36933637476641 is a deficient number, since it is larger than the sum of its proper divisors (1).

36933637476641 is an equidigital number, since it uses as much as digits as its factorization.

36933637476641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 740710656, while the sum is 68.

The spelling of 36933637476641 in words is "thirty-six trillion, nine hundred thirty-three billion, six hundred thirty-seven million, four hundred seventy-six thousand, six hundred forty-one".