4164561745921 has 2 divisors, whose sum is σ = 4164561745922. Its totient is φ = 4164561745920.

The previous prime is 4164561745879. The next prime is 4164561745951. The reversal of 4164561745921 is 1295471654614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4089191730625 + 75370015296 = 2022175^2 + 274536^2 .

It is a cyclic number.

It is not a de Polignac number, because 4164561745921 - 2¹¹ = 4164561743873 is a prime.

It is not a weakly prime, because it can be changed into another prime (4164561745951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2082280872960 + 2082280872961.

It is an arithmetic number, because the mean of its divisors is an integer number (2082280872961).

Almost surely, 2^{4164561745921} is an apocalyptic number.

It is an amenable number.

4164561745921 is a deficient number, since it is larger than the sum of its proper divisors (1).

4164561745921 is an equidigital number, since it uses as much as digits as its factorization.

4164561745921 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7257600, while the sum is 55.

The spelling of 4164561745921 in words is "four trillion, one hundred sixty-four billion, five hundred sixty-one million, seven hundred forty-five thousand, nine hundred twenty-one".