461457006173407 has 2 divisors, whose sum is σ = 461457006173408. Its totient is φ = 461457006173406.

The previous prime is 461457006173381. The next prime is 461457006173459. The reversal of 461457006173407 is 704371600754164.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-461457006173407 is a prime.

It is a super-2 number, since 2×461457006173407² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461457006177407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230728503086703 + 230728503086704.

It is an arithmetic number, because the mean of its divisors is an integer number (230728503086704).

Almost surely, 2^{461457006173407} is an apocalyptic number.

461457006173407 is a deficient number, since it is larger than the sum of its proper divisors (1).

461457006173407 is an equidigital number, since it uses as much as digits as its factorization.

461457006173407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11854080, while the sum is 55.

The spelling of 461457006173407 in words is "four hundred sixty-one trillion, four hundred fifty-seven billion, six million, one hundred seventy-three thousand, four hundred seven".