4666671007001 has 2 divisors, whose sum is σ = 4666671007002. Its totient is φ = 4666671007000.

The previous prime is 4666671006941. The next prime is 4666671007039. The reversal of 4666671007001 is 1007001766664.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2788729662601 + 1877941344400 = 1669949^2 + 1370380^2 .

It is a cyclic number.

It is not a de Polignac number, because 4666671007001 - 2¹⁰ = 4666671005977 is a prime.

It is not a weakly prime, because it can be changed into another prime (4666671007601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2333335503500 + 2333335503501.

It is an arithmetic number, because the mean of its divisors is an integer number (2333335503501).

Almost surely, 2^{4666671007001} is an apocalyptic number.

It is an amenable number.

4666671007001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4666671007001 is an equidigital number, since it uses as much as digits as its factorization.

4666671007001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 4666671007001 in words is "four trillion, six hundred sixty-six billion, six hundred seventy-one million, seven thousand, one".