2248791916841 has 2 divisors, whose sum is σ = 2248791916842. Its totient is φ = 2248791916840.

The previous prime is 2248791916771. The next prime is 2248791916879. The reversal of 2248791916841 is 1486191978422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1624962067600 + 623829849241 = 1274740^2 + 789829^2 .

It is a cyclic number.

It is not a de Polignac number, because 2248791916841 - 2³⁸ = 1973914009897 is a prime.

It is not a weakly prime, because it can be changed into another prime (2248791916141) 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, 1124395958420 + 1124395958421.

It is an arithmetic number, because the mean of its divisors is an integer number (1124395958421).

Almost surely, 2^{2248791916841} is an apocalyptic number.

It is an amenable number.

2248791916841 is a deficient number, since it is larger than the sum of its proper divisors (1).

2248791916841 is an equidigital number, since it uses as much as digits as its factorization.

2248791916841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13934592, while the sum is 62.

The spelling of 2248791916841 in words is "two trillion, two hundred forty-eight billion, seven hundred ninety-one million, nine hundred sixteen thousand, eight hundred forty-one".