368817314116689 has 27 divisors (see below), whose sum is σ = 545417117344827. Its totient is φ = 240158498330016.

The previous prime is 368817314116661. The next prime is 368817314116777. The reversal of 368817314116689 is 986611413718863.

The square root of 368817314116689 is 19204617.

It is a perfect power (a square), and thus also a powerful number.

368817314116689 is a `hidden beast` number, since 3 + 6 + 8 + 8 + 1 + 73 + 1 + 411 + 66 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34929695718225 + 333887618398464 = 5910135^2 + 18272592^2 .

It is a de Polignac number, because none of the positive numbers 2^k-368817314116689 is a prime.

It is a super-2 number, since 2×368817314116689² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (368817314115689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2477321157 + ... + 2477470029.

Almost surely, 2^{368817314116689} is an apocalyptic number.

368817314116689 is the 19204617-th square number.

368817314116689 is the 9602309-th centered octagonal number.

It is an amenable number.

368817314116689 is a deficient number, since it is larger than the sum of its proper divisors (176599803228138).

368817314116689 is an frugal number, since it uses more digits than its factorization.

368817314116689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297838 (or 148919 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 368817314116689 in words is "three hundred sixty-eight trillion, eight hundred seventeen billion, three hundred fourteen million, one hundred sixteen thousand, six hundred eighty-nine".