4656095816741 has 2 divisors, whose sum is σ = 4656095816742. Its totient is φ = 4656095816740.

The previous prime is 4656095816699. The next prime is 4656095816761. The reversal of 4656095816741 is 1476185906564.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2948617859716 + 1707477957025 = 1717154^2 + 1306705^2 .

It is a cyclic number.

It is not a de Polignac number, because 4656095816741 - 2³⁴ = 4638915947557 is a prime.

It is a super-2 number, since 2×4656095816741² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4656095816761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2328047908370 + 2328047908371.

It is an arithmetic number, because the mean of its divisors is an integer number (2328047908371).

Almost surely, 2^{4656095816741} is an apocalyptic number.

It is an amenable number.

4656095816741 is a deficient number, since it is larger than the sum of its proper divisors (1).

4656095816741 is an equidigital number, since it uses as much as digits as its factorization.

4656095816741 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43545600, while the sum is 62.

The spelling of 4656095816741 in words is "four trillion, six hundred fifty-six billion, ninety-five million, eight hundred sixteen thousand, seven hundred forty-one".