464601463456441 has 2 divisors, whose sum is σ = 464601463456442. Its totient is φ = 464601463456440.

The previous prime is 464601463456393. The next prime is 464601463456457. The reversal of 464601463456441 is 144654364106464.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255018542490000 + 209582920966441 = 15969300^2 + 14476979^2 .

It is a cyclic number.

It is not a de Polignac number, because 464601463456441 - 2¹⁵ = 464601463423673 is a prime.

It is not a weakly prime, because it can be changed into another prime (464601463450441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232300731728220 + 232300731728221.

It is an arithmetic number, because the mean of its divisors is an integer number (232300731728221).

Almost surely, 2^{464601463456441} is an apocalyptic number.

It is an amenable number.

464601463456441 is a deficient number, since it is larger than the sum of its proper divisors (1).

464601463456441 is an equidigital number, since it uses as much as digits as its factorization.

464601463456441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79626240, while the sum is 58.

The spelling of 464601463456441 in words is "four hundred sixty-four trillion, six hundred one billion, four hundred sixty-three million, four hundred fifty-six thousand, four hundred forty-one".