4613764217441 has 2 divisors, whose sum is σ = 4613764217442. Its totient is φ = 4613764217440.

The previous prime is 4613764217383. The next prime is 4613764217473. The reversal of 4613764217441 is 1447124673164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4130259548416 + 483504669025 = 2032304^2 + 695345^2 .

It is a cyclic number.

It is not a de Polignac number, because 4613764217441 - 2¹⁰ = 4613764216417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4613764217441.

It is not a weakly prime, because it can be changed into another prime (4613764237441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2306882108720 + 2306882108721.

It is an arithmetic number, because the mean of its divisors is an integer number (2306882108721).

Almost surely, 2^{4613764217441} is an apocalyptic number.

It is an amenable number.

4613764217441 is a deficient number, since it is larger than the sum of its proper divisors (1).

4613764217441 is an equidigital number, since it uses as much as digits as its factorization.

4613764217441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2709504, while the sum is 50.

The spelling of 4613764217441 in words is "four trillion, six hundred thirteen billion, seven hundred sixty-four million, two hundred seventeen thousand, four hundred forty-one".