4763214585441 has 81 divisors (see below), whose sum is σ = 7534841409459. Its totient is φ = 2898262272672.

The previous prime is 4763214585419. The next prime is 4763214585449. The reversal of 4763214585441 is 1445854123674.

The square root of 4763214585441 is 2182479.

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

4763214585441 is a `hidden beast` number, since 4 + 7 + 6 + 3 + 2 + 14 + 585 + 4 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 704617542225 + 4058597043216 = 839415^2 + 2014596^2 .

It is not a de Polignac number, because 4763214585441 - 2¹⁹ = 4763214061153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4763214585449) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9107484606 + ... + 9107485128.

Almost surely, 2^{4763214585441} is an apocalyptic number.

4763214585441 is the 2182479-th square number.

4763214585441 is the 1091240-th centered octagonal number.

It is an amenable number.

4763214585441 is a deficient number, since it is larger than the sum of its proper divisors (2771626824018).

4763214585441 is an equidigital number, since it uses as much as digits as its factorization.

4763214585441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 646 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 4763214585441 in words is "four trillion, seven hundred sixty-three billion, two hundred fourteen million, five hundred eighty-five thousand, four hundred forty-one".