4677355347641 has 2 divisors, whose sum is σ = 4677355347642. Its totient is φ = 4677355347640.

The previous prime is 4677355347629. The next prime is 4677355347647. The reversal of 4677355347641 is 1467435537764.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3135732640000 + 1541622707641 = 1770800^2 + 1241621^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4677355347641 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4677355347647) 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, 2338677673820 + 2338677673821.

It is an arithmetic number, because the mean of its divisors is an integer number (2338677673821).

Almost surely, 2^{4677355347641} is an apocalyptic number.

It is an amenable number.

4677355347641 is a deficient number, since it is larger than the sum of its proper divisors (1).

4677355347641 is an equidigital number, since it uses as much as digits as its factorization.

4677355347641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 177811200, while the sum is 62.

The spelling of 4677355347641 in words is "four trillion, six hundred seventy-seven billion, three hundred fifty-five million, three hundred forty-seven thousand, six hundred forty-one".