677461363164809 has 2 divisors, whose sum is σ = 677461363164810. Its totient is φ = 677461363164808.

The previous prime is 677461363164673. The next prime is 677461363164827. The reversal of 677461363164809 is 908461363164776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 587140004064784 + 90321359100025 = 24230972^2 + 9503755^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-677461363164809 is a prime.

It is a super-2 number, since 2×677461363164809² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (677461363164889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338730681582404 + 338730681582405.

It is an arithmetic number, because the mean of its divisors is an integer number (338730681582405).

Almost surely, 2^{677461363164809} is an apocalyptic number.

It is an amenable number.

677461363164809 is a deficient number, since it is larger than the sum of its proper divisors (1).

677461363164809 is an equidigital number, since it uses as much as digits as its factorization.

677461363164809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 658409472, while the sum is 71.

The spelling of 677461363164809 in words is "six hundred seventy-seven trillion, four hundred sixty-one billion, three hundred sixty-three million, one hundred sixty-four thousand, eight hundred nine".