3745854585673 has 2 divisors, whose sum is σ = 3745854585674. Its totient is φ = 3745854585672.

The previous prime is 3745854585653. The next prime is 3745854585691. The reversal of 3745854585673 is 3765854585473.

3745854585673 is digitally balanced in base 2 and base 3, because in such bases 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., 2464312854969 + 1281541730704 = 1569813^2 + 1132052^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3745854585673 is a prime.

It is not a weakly prime, because it can be changed into another prime (3745854585623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1872927292836 + 1872927292837.

It is an arithmetic number, because the mean of its divisors is an integer number (1872927292837).

Almost surely, 2^{3745854585673} is an apocalyptic number.

It is an amenable number.

3745854585673 is a deficient number, since it is larger than the sum of its proper divisors (1).

3745854585673 is an equidigital number, since it uses as much as digits as its factorization.

3745854585673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1693440000, while the sum is 70.

The spelling of 3745854585673 in words is "three trillion, seven hundred forty-five billion, eight hundred fifty-four million, five hundred eighty-five thousand, six hundred seventy-three".