68828079320361 has 27 divisors (see below), whose sum is σ = 99874211858967. Its totient is φ = 45675938606400.

The previous prime is 68828079320359. The next prime is 68828079320411. The reversal of 68828079320361 is 16302397082886.

The square root of 68828079320361 is 8296269.

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

68828079320361 is a `hidden beast` number, since 6 + 8 + 8 + 280 + 7 + 93 + 203 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25844320880361 + 42983758440000 = 5083731^2 + 6556200^2 .

It is not a de Polignac number, because 68828079320361 - 2¹ = 68828079320359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68828079320311) 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, 5550197761 + ... + 5550210161.

Almost surely, 2^{68828079320361} is an apocalyptic number.

68828079320361 is the 8296269-th square number.

68828079320361 is the 4148135-th centered octagonal number.

It is an amenable number.

68828079320361 is a deficient number, since it is larger than the sum of its proper divisors (31046132538606).

68828079320361 is an frugal number, since it uses more digits than its factorization.

68828079320361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25254 (or 12627 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 68828079320361 in words is "sixty-eight trillion, eight hundred twenty-eight billion, seventy-nine million, three hundred twenty thousand, three hundred sixty-one".