4164523457 has 2 divisors, whose sum is σ = 4164523458. Its totient is φ = 4164523456.

The previous prime is 4164523411. The next prime is 4164523459. The reversal of 4164523457 is 7543254614.

4164523457 is digitally balanced in base 2 and base 3, because in such bases 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., 4137576976 + 26946481 = 64324^2 + 5191^2 .

It is a cyclic number.

It is not a de Polignac number, because 4164523457 - 2²⁶ = 4097414593 is a prime.

Together with 4164523459, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4164523459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2082261728 + 2082261729.

It is an arithmetic number, because the mean of its divisors is an integer number (2082261729).

Almost surely, 2^4164523457 is an apocalyptic number.

It is an amenable number.

4164523457 is a deficient number, since it is larger than the sum of its proper divisors (1).

4164523457 is an equidigital number, since it uses as much as digits as its factorization.

4164523457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 403200, while the sum is 41.

The square root of 4164523457 is about 64533.1190707531. The cubic root of 4164523457 is about 1608.8730275334.

The spelling of 4164523457 in words is "four billion, one hundred sixty-four million, five hundred twenty-three thousand, four hundred fifty-seven".