2306167218401 has 2 divisors, whose sum is σ = 2306167218402. Its totient is φ = 2306167218400.

The previous prime is 2306167218391. The next prime is 2306167218409. The reversal of 2306167218401 is 1048127616032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2161311619600 + 144855598801 = 1470140^2 + 380599^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2306167218401 is a prime.

It is not a weakly prime, because it can be changed into another prime (2306167218409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1153083609200 + 1153083609201.

It is an arithmetic number, because the mean of its divisors is an integer number (1153083609201).

Almost surely, 2^{2306167218401} is an apocalyptic number.

It is an amenable number.

2306167218401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2306167218401 is an equidigital number, since it uses as much as digits as its factorization.

2306167218401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 2306167218401 in words is "two trillion, three hundred six billion, one hundred sixty-seven million, two hundred eighteen thousand, four hundred one".