68687114997361 has 81 divisors (see below), whose sum is σ = 82692108107553. Its totient is φ = 56887246416000.

The previous prime is 68687114997337. The next prime is 68687114997379. The reversal of 68687114997361 is 16379941178686.

The square root of 68687114997361 is 8287769.

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

It can be written as a sum of positive squares in 4 ways, for example, as 726151101025 + 67960963896336 = 852145^2 + 8243844^2 .

It is not a de Polignac number, because 68687114997361 - 2²⁵ = 68687081442929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68687114995361) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 273653844486 + ... + 273653844736.

Almost surely, 2^{68687114997361} is an apocalyptic number.

68687114997361 is the 8287769-th square number.

68687114997361 is the 4143885-th centered octagonal number.

It is an amenable number.

68687114997361 is a deficient number, since it is larger than the sum of its proper divisors (14004993110192).

68687114997361 is an frugal number, since it uses more digits than its factorization.

68687114997361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 400 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 76.

The spelling of 68687114997361 in words is "sixty-eight trillion, six hundred eighty-seven billion, one hundred fourteen million, nine hundred ninety-seven thousand, three hundred sixty-one".