65753561846449 has 27 divisors (see below), whose sum is σ = 70462299949419. Its totient is φ = 61353558187680.

The previous prime is 65753561846431. The next prime is 65753561846501. The reversal of 65753561846449 is 94464816535756.

The square root of 65753561846449 is 8108857.

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., 3168375080049 + 62585186766400 = 1779993^2 + 7911080^2 .

It is not a de Polignac number, because 65753561846449 - 2²³ = 65753553457841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65753561646449) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7646647852 + ... + 7646656450.

Almost surely, 2^{65753561846449} is an apocalyptic number.

65753561846449 is the 8108857-th square number.

65753561846449 is the 4054429-th centered octagonal number.

It is an amenable number.

65753561846449 is a deficient number, since it is larger than the sum of its proper divisors (4708738102970).

65753561846449 is an frugal number, since it uses more digits than its factorization.

65753561846449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17326 (or 8663 counting only the distinct ones).

The product of its digits is 2612736000, while the sum is 73.

The spelling of 65753561846449 in words is "sixty-five trillion, seven hundred fifty-three billion, five hundred sixty-one million, eight hundred forty-six thousand, four hundred forty-nine".