460744725431329 has 2 divisors, whose sum is σ = 460744725431330. Its totient is φ = 460744725431328.

The previous prime is 460744725431327. The next prime is 460744725431339. The reversal of 460744725431329 is 923134527447064.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 313900061700625 + 146844663730704 = 17717225^2 + 12117948^2 .

It is a cyclic number.

It is not a de Polignac number, because 460744725431329 - 2¹ = 460744725431327 is a prime.

Together with 460744725431327, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (460744725431327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230372362715664 + 230372362715665.

It is an arithmetic number, because the mean of its divisors is an integer number (230372362715665).

Almost surely, 2^{460744725431329} is an apocalyptic number.

It is an amenable number.

460744725431329 is a deficient number, since it is larger than the sum of its proper divisors (1).

460744725431329 is an equidigital number, since it uses as much as digits as its factorization.

460744725431329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 121927680, while the sum is 61.

The spelling of 460744725431329 in words is "four hundred sixty trillion, seven hundred forty-four billion, seven hundred twenty-five million, four hundred thirty-one thousand, three hundred twenty-nine".