4656444446561 has 2 divisors, whose sum is σ = 4656444446562. Its totient is φ = 4656444446560.

The previous prime is 4656444446551. The next prime is 4656444446581. The reversal of 4656444446561 is 1656444446564.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2615206465600 + 2041237980961 = 1617160^2 + 1428719^2 .

It is a cyclic number.

It is not a de Polignac number, because 4656444446561 - 2⁶ = 4656444446497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4656444446561.

It is not a weakly prime, because it can be changed into another prime (4656444446551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2328222223280 + 2328222223281.

It is an arithmetic number, because the mean of its divisors is an integer number (2328222223281).

Almost surely, 2^{4656444446561} is an apocalyptic number.

It is an amenable number.

4656444446561 is a deficient number, since it is larger than the sum of its proper divisors (1).

4656444446561 is an equidigital number, since it uses as much as digits as its factorization.

4656444446561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 132710400, while the sum is 59.

The spelling of 4656444446561 in words is "four trillion, six hundred fifty-six billion, four hundred forty-four million, four hundred forty-six thousand, five hundred sixty-one".