37845381459617 has 2 divisors, whose sum is σ = 37845381459618. Its totient is φ = 37845381459616.

The previous prime is 37845381459563. The next prime is 37845381459631. The reversal of 37845381459617 is 71695418354873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26578241957281 + 11267139502336 = 5155409^2 + 3356656^2 .

It is an emirp because it is prime and its reverse (71695418354873) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37845381459617 is a prime.

It is not a weakly prime, because it can be changed into another prime (37845381459667) 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, 18922690729808 + 18922690729809.

It is an arithmetic number, because the mean of its divisors is an integer number (18922690729809).

Almost surely, 2^{37845381459617} is an apocalyptic number.

It is an amenable number.

37845381459617 is a deficient number, since it is larger than the sum of its proper divisors (1).

37845381459617 is an equidigital number, since it uses as much as digits as its factorization.

37845381459617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 609638400, while the sum is 71.

The spelling of 37845381459617 in words is "thirty-seven trillion, eight hundred forty-five billion, three hundred eighty-one million, four hundred fifty-nine thousand, six hundred seventeen".