68766146289 has 15 divisors (see below), whose sum is σ = 102728262747. Its totient is φ = 45842524128.

The previous prime is 68766146279. The next prime is 68766146297. The reversal of 68766146289 is 98264166786.

The square root of 68766146289 is 262233.

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

68766146289 is a `hidden beast` number, since 6 + 8 + 7 + 6 + 614 + 6 + 2 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63435978225 + 5330168064 = 251865^2 + 73008^2 .

It is not a de Polignac number, because 68766146289 - 2¹¹ = 68766144241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68766146269) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2345529 + ... + 2374665.

Almost surely, 2^68766146289 is an apocalyptic number.

68766146289 is the 262233-rd square number.

68766146289 is the 131117-th centered octagonal number.

It is an amenable number.

68766146289 is a deficient number, since it is larger than the sum of its proper divisors (33962116458).

68766146289 is an frugal number, since it uses more digits than its factorization.

68766146289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58286 (or 29140 counting only the distinct ones).

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

The spelling of 68766146289 in words is "sixty-eight billion, seven hundred sixty-six million, one hundred forty-six thousand, two hundred eighty-nine".