3664533542401 has 2 divisors, whose sum is σ = 3664533542402. Its totient is φ = 3664533542400.

The previous prime is 3664533542323. The next prime is 3664533542407. The reversal of 3664533542401 is 1042453354663.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2701683942400 + 962849600001 = 1643680^2 + 981249^2 .

It is a cyclic number.

It is not a de Polignac number, because 3664533542401 - 2³³ = 3655943607809 is a prime.

It is not a weakly prime, because it can be changed into another prime (3664533542407) 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, 1832266771200 + 1832266771201.

It is an arithmetic number, because the mean of its divisors is an integer number (1832266771201).

Almost surely, 2^{3664533542401} is an apocalyptic number.

It is an amenable number.

3664533542401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3664533542401 is an equidigital number, since it uses as much as digits as its factorization.

3664533542401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3110400, while the sum is 46.

The spelling of 3664533542401 in words is "three trillion, six hundred sixty-four billion, five hundred thirty-three million, five hundred forty-two thousand, four hundred one".