461617753071457 has 2 divisors, whose sum is σ = 461617753071458. Its totient is φ = 461617753071456.

The previous prime is 461617753071421. The next prime is 461617753071467. The reversal of 461617753071457 is 754170357716164.

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., 302984710479936 + 158633042591521 = 17406456^2 + 12594961^2 .

It is a cyclic number.

It is not a de Polignac number, because 461617753071457 - 2³⁵ = 461583393333089 is a prime.

It is not a weakly prime, because it can be changed into another prime (461617753071467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230808876535728 + 230808876535729.

It is an arithmetic number, because the mean of its divisors is an integer number (230808876535729).

Almost surely, 2^{461617753071457} is an apocalyptic number.

It is an amenable number.

461617753071457 is a deficient number, since it is larger than the sum of its proper divisors (1).

461617753071457 is an equidigital number, since it uses as much as digits as its factorization.

461617753071457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103723200, while the sum is 64.

The spelling of 461617753071457 in words is "four hundred sixty-one trillion, six hundred seventeen billion, seven hundred fifty-three million, seventy-one thousand, four hundred fifty-seven".