3845137566601 has 2 divisors, whose sum is σ = 3845137566602. Its totient is φ = 3845137566600.

The previous prime is 3845137566583. The next prime is 3845137566637. The reversal of 3845137566601 is 1066657315483.

3845137566601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3080604177225 + 764533389376 = 1755165^2 + 874376^2 .

It is a cyclic number.

It is not a de Polignac number, because 3845137566601 - 2¹⁵ = 3845137533833 is a prime.

It is not a weakly prime, because it can be changed into another prime (3845137066601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1922568783300 + 1922568783301.

It is an arithmetic number, because the mean of its divisors is an integer number (1922568783301).

Almost surely, 2^{3845137566601} is an apocalyptic number.

It is an amenable number.

3845137566601 is a deficient number, since it is larger than the sum of its proper divisors (1).

3845137566601 is an equidigital number, since it uses as much as digits as its factorization.

3845137566601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 3845137566601 in words is "three trillion, eight hundred forty-five billion, one hundred thirty-seven million, five hundred sixty-six thousand, six hundred one".