463956048250321 has 27 divisors (see below), whose sum is σ = 510700827471849. Its totient is φ = 421173177222600.

The previous prime is 463956048250313. The next prime is 463956048250333. The reversal of 463956048250321 is 123052840659364.

It is a happy number.

The square root of 463956048250321 is 21539639.

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

It is not a de Polignac number, because 463956048250321 - 2³ = 463956048250313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463956048250301) 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, 303041180326 + ... + 303041181856.

Almost surely, 2^{463956048250321} is an apocalyptic number.

463956048250321 is the 21539639-th square number.

463956048250321 is the 10769820-th centered octagonal number.

It is an amenable number.

463956048250321 is a deficient number, since it is larger than the sum of its proper divisors (46744779221528).

463956048250321 is an frugal number, since it uses more digits than its factorization.

463956048250321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5642 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 58.

The spelling of 463956048250321 in words is "four hundred sixty-three trillion, nine hundred fifty-six billion, forty-eight million, two hundred fifty thousand, three hundred twenty-one".