68448687129 has 27 divisors (see below), whose sum is σ = 101657847837. Its totient is φ = 44380311264.

The previous prime is 68448687121. The next prime is 68448687149. The reversal of 68448687129 is 92178684486.

The square root of 68448687129 is 261627.

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

68448687129 is a `hidden beast` number, since 6 + 8 + 448 + 68 + 7 + 129 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 827885529 + 67620801600 = 28773^2 + 260040^2 .

It is not a de Polignac number, because 68448687129 - 2³ = 68448687121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68448687121) 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, 29039419 + ... + 29041775.

Almost surely, 2^68448687129 is an apocalyptic number.

68448687129 is the 261627-th square number.

68448687129 is the 130814-th centered octagonal number.

It is an amenable number.

68448687129 is a deficient number, since it is larger than the sum of its proper divisors (33209160708).

68448687129 is an frugal number, since it uses more digits than its factorization.

68448687129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 2397 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 68448687129 in words is "sixty-eight billion, four hundred forty-eight million, six hundred eighty-seven thousand, one hundred twenty-nine".