3411966648641 has 2 divisors, whose sum is σ = 3411966648642. Its totient is φ = 3411966648640.

The previous prime is 3411966648611. The next prime is 3411966648689. The reversal of 3411966648641 is 1468466691143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2408483621041 + 1003483027600 = 1551929^2 + 1001740^2 .

It is a cyclic number.

It is not a de Polignac number, because 3411966648641 - 2¹⁴ = 3411966632257 is a prime.

It is a super-2 number, since 2×3411966648641² (a number of 26 digits) contains 22 as substring.

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 (3411966648611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1705983324320 + 1705983324321.

It is an arithmetic number, because the mean of its divisors is an integer number (1705983324321).

Almost surely, 2^{3411966648641} is an apocalyptic number.

It is an amenable number.

3411966648641 is a deficient number, since it is larger than the sum of its proper divisors (1).

3411966648641 is an equidigital number, since it uses as much as digits as its factorization.

3411966648641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17915904, while the sum is 59.

The spelling of 3411966648641 in words is "three trillion, four hundred eleven billion, nine hundred sixty-six million, six hundred forty-eight thousand, six hundred forty-one".