37134814166917 has 2 divisors, whose sum is σ = 37134814166918. Its totient is φ = 37134814166916.

The previous prime is 37134814166881. The next prime is 37134814166951. The reversal of 37134814166917 is 71966141843173.

37134814166917 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., 21886734162276 + 15248080004641 = 4678326^2 + 3904879^2 .

It is a cyclic number.

It is not a de Polignac number, because 37134814166917 - 2¹⁵ = 37134814134149 is a prime.

It is a super-2 number, since 2×37134814166917² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37134814169917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18567407083458 + 18567407083459.

It is an arithmetic number, because the mean of its divisors is an integer number (18567407083459).

Almost surely, 2^{37134814166917} is an apocalyptic number.

It is an amenable number.

37134814166917 is a deficient number, since it is larger than the sum of its proper divisors (1).

37134814166917 is an equidigital number, since it uses as much as digits as its factorization.

37134814166917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18289152, while the sum is 61.

The spelling of 37134814166917 in words is "thirty-seven trillion, one hundred thirty-four billion, eight hundred fourteen million, one hundred sixty-six thousand, nine hundred seventeen".