4164854657 has 2 divisors, whose sum is σ = 4164854658. Its totient is φ = 4164854656.

The previous prime is 4164854647. The next prime is 4164854747. The reversal of 4164854657 is 7564584614.

4164854657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2791114561 + 1373740096 = 52831^2 + 37064^2 .

It is a cyclic number.

It is not a de Polignac number, because 4164854657 - 2¹⁴ = 4164838273 is a prime.

It is not a weakly prime, because it can be changed into another prime (4164854627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2082427328 + 2082427329.

It is an arithmetic number, because the mean of its divisors is an integer number (2082427329).

Almost surely, 2^4164854657 is an apocalyptic number.

It is an amenable number.

4164854657 is a deficient number, since it is larger than the sum of its proper divisors (1).

4164854657 is an equidigital number, since it uses as much as digits as its factorization.

4164854657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3225600, while the sum is 50.

The square root of 4164854657 is about 64535.6851439574. The cubic root of 4164854657 is about 1608.9156770408.

The spelling of 4164854657 in words is "four billion, one hundred sixty-four million, eight hundred fifty-four thousand, six hundred fifty-seven".