4656579041 has 2 divisors, whose sum is σ = 4656579042. Its totient is φ = 4656579040.

The previous prime is 4656579001. The next prime is 4656579047. The reversal of 4656579041 is 1409756564.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3903625441 + 752953600 = 62479^2 + 27440^2 .

It is a cyclic number.

It is not a de Polignac number, because 4656579041 - 2¹⁴ = 4656562657 is a prime.

It is not a weakly prime, because it can be changed into another prime (4656579047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2328289520 + 2328289521.

It is an arithmetic number, because the mean of its divisors is an integer number (2328289521).

Almost surely, 2^4656579041 is an apocalyptic number.

It is an amenable number.

4656579041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4656579041 is an equidigital number, since it uses as much as digits as its factorization.

4656579041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 907200, while the sum is 47.

The square root of 4656579041 is about 68239.1313030874. The cubic root of 4656579041 is about 1669.8943412661.

The spelling of 4656579041 in words is "four billion, six hundred fifty-six million, five hundred seventy-nine thousand, forty-one".