460126445641641 has 24 divisors (see below), whose sum is σ = 673205081170440. Its totient is φ = 302808149093376.

The previous prime is 460126445641637. The next prime is 460126445641721. The reversal of 460126445641641 is 146146544621064.

460126445641641 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 2 + 64 + 4 + 564 + 16 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126687743469225 + 333438702172416 = 11255565^2 + 18260304^2 .

It is not a de Polignac number, because 460126445641641 - 2² = 460126445641637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (460126445641441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677119930 + ... + 677799123.

It is an arithmetic number, because the mean of its divisors is an integer number (28050211715435).

Almost surely, 2^{460126445641641} is an apocalyptic number.

It is an amenable number.

460126445641641 is a deficient number, since it is larger than the sum of its proper divisors (213078635528799).

460126445641641 is a wasteful number, since it uses less digits than its factorization.

460126445641641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354919545 (or 1354919542 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 460126445641641 in words is "four hundred sixty trillion, one hundred twenty-six billion, four hundred forty-five million, six hundred forty-one thousand, six hundred forty-one".