248468791937 has 2 divisors, whose sum is σ = 248468791938. Its totient is φ = 248468791936.

The previous prime is 248468791853. The next prime is 248468791939. The reversal of 248468791937 is 739197864842.

248468791937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205549797376 + 42918994561 = 453376^2 + 207169^2 .

It is a cyclic number.

It is not a de Polignac number, because 248468791937 - 2¹⁴ = 248468775553 is a prime.

Together with 248468791939, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (248468791939) 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, 124234395968 + 124234395969.

It is an arithmetic number, because the mean of its divisors is an integer number (124234395969).

Almost surely, 2^248468791937 is an apocalyptic number.

It is an amenable number.

248468791937 is a deficient number, since it is larger than the sum of its proper divisors (1).

248468791937 is an equidigital number, since it uses as much as digits as its factorization.

248468791937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 146313216, while the sum is 68.

The spelling of 248468791937 in words is "two hundred forty-eight billion, four hundred sixty-eight million, seven hundred ninety-one thousand, nine hundred thirty-seven".