37815579648017 has 2 divisors, whose sum is σ = 37815579648018. Its totient is φ = 37815579648016.

The previous prime is 37815579647981. The next prime is 37815579648023. The reversal of 37815579648017 is 71084697551873.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22222842520321 + 15592737127696 = 4714111^2 + 3948764^2 .

It is a cyclic number.

It is not a de Polignac number, because 37815579648017 - 2¹⁴ = 37815579631633 is a prime.

It is a super-2 number, since 2×37815579648017² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37815579648097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18907789824008 + 18907789824009.

It is an arithmetic number, because the mean of its divisors is an integer number (18907789824009).

Almost surely, 2^{37815579648017} is an apocalyptic number.

It is an amenable number.

37815579648017 is a deficient number, since it is larger than the sum of its proper divisors (1).

37815579648017 is an equidigital number, since it uses as much as digits as its factorization.

37815579648017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 355622400, while the sum is 71.

The spelling of 37815579648017 in words is "thirty-seven trillion, eight hundred fifteen billion, five hundred seventy-nine million, six hundred forty-eight thousand, seventeen".