461894400017 has 2 divisors, whose sum is σ = 461894400018. Its totient is φ = 461894400016.

The previous prime is 461894399977. The next prime is 461894400029. The reversal of 461894400017 is 710004498164.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 265092146641 + 196802253376 = 514871^2 + 443624^2 .

It is a cyclic number.

It is not a de Polignac number, because 461894400017 - 2³⁴ = 444714530833 is a prime.

It is not a weakly prime, because it can be changed into another prime (461894409017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230947200008 + 230947200009.

It is an arithmetic number, because the mean of its divisors is an integer number (230947200009).

Almost surely, 2^461894400017 is an apocalyptic number.

It is an amenable number.

461894400017 is a deficient number, since it is larger than the sum of its proper divisors (1).

461894400017 is an equidigital number, since it uses as much as digits as its factorization.

461894400017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 461894400017 in words is "four hundred sixty-one billion, eight hundred ninety-four million, four hundred thousand, seventeen".