2946903806321 has 2 divisors, whose sum is σ = 2946903806322. Its totient is φ = 2946903806320.

The previous prime is 2946903806279. The next prime is 2946903806369. The reversal of 2946903806321 is 1236083096492.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2874079386721 + 72824419600 = 1695311^2 + 269860^2 .

It is a cyclic number.

It is not a de Polignac number, because 2946903806321 - 2³⁴ = 2929723937137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2946903802321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1473451903160 + 1473451903161.

It is an arithmetic number, because the mean of its divisors is an integer number (1473451903161).

Almost surely, 2^{2946903806321} is an apocalyptic number.

It is an amenable number.

2946903806321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2946903806321 is an equidigital number, since it uses as much as digits as its factorization.

2946903806321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3359232, while the sum is 53.

The spelling of 2946903806321 in words is "two trillion, nine hundred forty-six billion, nine hundred three million, eight hundred six thousand, three hundred twenty-one".