8461670761681 has 2 divisors, whose sum is σ = 8461670761682. Its totient is φ = 8461670761680.

The previous prime is 8461670761637. The next prime is 8461670761717. The reversal of 8461670761681 is 1861670761648.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6278933408400 + 2182737353281 = 2505780^2 + 1477409^2 .

It is a cyclic number.

It is not a de Polignac number, because 8461670761681 - 2⁹ = 8461670761169 is a prime.

It is a super-2 number, since 2×8461670761681² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (8461670761981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4230835380840 + 4230835380841.

It is an arithmetic number, because the mean of its divisors is an integer number (4230835380841).

Almost surely, 2^{8461670761681} is an apocalyptic number.

It is an amenable number.

8461670761681 is a deficient number, since it is larger than the sum of its proper divisors (1).

8461670761681 is an equidigital number, since it uses as much as digits as its factorization.

8461670761681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16257024, while the sum is 61.

The spelling of 8461670761681 in words is "eight trillion, four hundred sixty-one billion, six hundred seventy million, seven hundred sixty-one thousand, six hundred eighty-one".