4967408161 has 2 divisors, whose sum is σ = 4967408162. Its totient is φ = 4967408160.

The previous prime is 4967408137. The next prime is 4967408167. The reversal of 4967408161 is 1618047694.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4180269025 + 787139136 = 64655^2 + 28056^2 .

It is a cyclic number.

It is not a de Polignac number, because 4967408161 - 2²³ = 4959019553 is a prime.

It is not a weakly prime, because it can be changed into another prime (4967408167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2483704080 + 2483704081.

It is an arithmetic number, because the mean of its divisors is an integer number (2483704081).

Almost surely, 2^4967408161 is an apocalyptic number.

It is an amenable number.

4967408161 is a deficient number, since it is larger than the sum of its proper divisors (1).

4967408161 is an equidigital number, since it uses as much as digits as its factorization.

4967408161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 4967408161 is about 70479.8422316622. The cubic root of 4967408161 is about 1706.2524271126.

The spelling of 4967408161 in words is "four billion, nine hundred sixty-seven million, four hundred eight thousand, one hundred sixty-one".