463653408241 has 9 divisors (see below), whose sum is σ = 470723212281. Its totient is φ = 456688267332.

The previous prime is 463653408191. The next prime is 463653408247. The reversal of 463653408241 is 142804356364.

The square root of 463653408241 is 680921.

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

It is a de Polignac number, because none of the positive numbers 2^k-463653408241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 463653408191 and 463653408200.

It is not an unprimeable number, because it can be changed into a prime (463653408247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45616626 + ... + 45626788.

Almost surely, 2^463653408241 is an apocalyptic number.

463653408241 is the 680921-st square number.

463653408241 is the 340461-st centered octagonal number.

It is an amenable number.

463653408241 is a deficient number, since it is larger than the sum of its proper divisors (7069804040).

463653408241 is an frugal number, since it uses more digits than its factorization.

463653408241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20460 (or 10230 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 463653408241 in words is "four hundred sixty-three billion, six hundred fifty-three million, four hundred eight thousand, two hundred forty-one".