4289968858057 has 2 divisors, whose sum is σ = 4289968858058. Its totient is φ = 4289968858056.

The previous prime is 4289968858039. The next prime is 4289968858061. The reversal of 4289968858057 is 7508588699824.

4289968858057 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3958902110601 + 331066747456 = 1989699^2 + 575384^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4289968858057 is a prime.

It is a super-3 number, since 3×4289968858057³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (4289968858157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2144984429028 + 2144984429029.

It is an arithmetic number, because the mean of its divisors is an integer number (2144984429029).

Almost surely, 2^{4289968858057} is an apocalyptic number.

It is an amenable number.

4289968858057 is a deficient number, since it is larger than the sum of its proper divisors (1).

4289968858057 is an equidigital number, since it uses as much as digits as its factorization.

4289968858057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2786918400, while the sum is 79.

The spelling of 4289968858057 in words is "four trillion, two hundred eighty-nine billion, nine hundred sixty-eight million, eight hundred fifty-eight thousand, fifty-seven".