4565909966401 has 81 divisors (see below), whose sum is σ = 5643470796003. Its totient is φ = 3683157700320.

The previous prime is 4565909966381. The next prime is 4565909966407. The reversal of 4565909966401 is 1046699095654.

The square root of 4565909966401 is 2136799.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4252466746801 + 313443219600 = 2062151^2 + 559860^2 .

It is not a de Polignac number, because 4565909966401 - 2⁵ = 4565909966369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4565909966407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19938471355 + ... + 19938471583.

It is an arithmetic number, because the mean of its divisors is an integer number (69672478963).

Almost surely, 2^{4565909966401} is an apocalyptic number.

4565909966401 is the 2136799-th square number.

4565909966401 is the 1068400-th centered octagonal number.

It is an amenable number.

4565909966401 is a deficient number, since it is larger than the sum of its proper divisors (1077560829602).

4565909966401 is an frugal number, since it uses more digits than its factorization.

4565909966401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 64.

Multiplying 4565909966401 by its sum of digits (64), we get a square (292218237849664 = 17094392²).

The spelling of 4565909966401 in words is "four trillion, five hundred sixty-five billion, nine hundred nine million, nine hundred sixty-six thousand, four hundred one".