68831066009601 has 27 divisors (see below), whose sum is σ = 115655213184771. Its totient is φ = 39331938162384.

The previous prime is 68831066009521. The next prime is 68831066009639. The reversal of 68831066009601 is 10690066013886.

The square root of 68831066009601 is 8296449.

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

It can be written as a sum of positive squares in only one way, i.e., 14901136319601 + 53929929690000 = 3860199^2 + 7343700^2 .

It is not a de Polignac number, because 68831066009601 - 2¹¹ = 68831066007553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68831066007601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 174027895 + ... + 174422963.

Almost surely, 2^{68831066009601} is an apocalyptic number.

68831066009601 is the 8296449-th square number.

68831066009601 is the 4148225-th centered octagonal number.

It is an amenable number.

68831066009601 is a deficient number, since it is larger than the sum of its proper divisors (46824147175170).

68831066009601 is an frugal number, since it uses more digits than its factorization.

68831066009601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790158 (or 395079 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 68831066009601 in words is "sixty-eight trillion, eight hundred thirty-one billion, sixty-six million, nine thousand, six hundred one".