34937168681 has 2 divisors, whose sum is σ = 34937168682. Its totient is φ = 34937168680.

The previous prime is 34937168653. The next prime is 34937168683. The reversal of 34937168681 is 18686173943.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33080334400 + 1856834281 = 181880^2 + 43091^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34937168681 is a prime.

It is a super-2 number, since 2×34937168681² (a number of 22 digits) contains 22 as substring.

Together with 34937168683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34937168683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17468584340 + 17468584341.

It is an arithmetic number, because the mean of its divisors is an integer number (17468584341).

Almost surely, 2^34937168681 is an apocalyptic number.

It is an amenable number.

34937168681 is a deficient number, since it is larger than the sum of its proper divisors (1).

34937168681 is an equidigital number, since it uses as much as digits as its factorization.

34937168681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5225472, while the sum is 56.

The spelling of 34937168681 in words is "thirty-four billion, nine hundred thirty-seven million, one hundred sixty-eight thousand, six hundred eighty-one".