68857318476961 has 81 divisors (see below), whose sum is σ = 85114670887467. Its totient is φ = 55539717246720.

The previous prime is 68857318476949. The next prime is 68857318476971. The reversal of 68857318476961 is 16967481375886.

The square root of 68857318476961 is 8298031.

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

It can be written as a sum of positive squares in 13 ways, for example, as 43722577413025 + 25134741063936 = 6612305^2 + 5013456^2 .

It is not a de Polignac number, because 68857318476961 - 2¹⁵ = 68857318444193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68857318476911) 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, 69064511515 + ... + 69064512511.

Almost surely, 2^{68857318476961} is an apocalyptic number.

68857318476961 is the 8298031-st square number.

68857318476961 is the 4149016-th centered octagonal number.

It is an amenable number.

68857318476961 is a deficient number, since it is larger than the sum of its proper divisors (16257352410506).

68857318476961 is an frugal number, since it uses more digits than its factorization.

68857318476961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 1074 counting only the distinct ones).

The product of its digits is 2926264320, while the sum is 79.

The spelling of 68857318476961 in words is "sixty-eight trillion, eight hundred fifty-seven billion, three hundred eighteen million, four hundred seventy-six thousand, nine hundred sixty-one".