428096712681 has 63 divisors (see below), whose sum is σ = 705826532397. Its totient is φ = 259334780760.

The previous prime is 428096712619. The next prime is 428096712683. The reversal of 428096712681 is 186217690824.

It is a happy number.

The square root of 428096712681 is 654291.

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

428096712681 is a `hidden beast` number, since 428 + 0 + 96 + 7 + 126 + 8 + 1 = 666.

It is not a de Polignac number, because 428096712681 - 2²³ = 428088324073 is a prime.

It is a super-2 number, since 2×428096712681² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (428096712683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 194323326 + ... + 194325528.

Almost surely, 2^428096712681 is an apocalyptic number.

428096712681 is the 654291-st square number.

428096712681 is the 327146-th centered octagonal number.

It is an amenable number.

428096712681 is a deficient number, since it is larger than the sum of its proper divisors (277729819716).

428096712681 is an frugal number, since it uses more digits than its factorization.

428096712681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 428096712681 in words is "four hundred twenty-eight billion, ninety-six million, seven hundred twelve thousand, six hundred eighty-one".