128764598807601 has 27 divisors (see below), whose sum is σ = 197578555756491. Its totient is φ = 80793110643264.

The previous prime is 128764598807591. The next prime is 128764598807627. The reversal of 128764598807601 is 106708895467821.

It is a happy number.

The square root of 128764598807601 is 11347449.

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

128764598807601 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 6 + 4 + 5 + 9 + 8 + 8 + 0 + 7 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100249255127025 + 28515343680576 = 10012455^2 + 5339976^2 .

It is not a de Polignac number, because 128764598807601 - 2²³ = 128764590418993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 128764598807601.

It is not an unprimeable number, because it can be changed into a prime (128764598807641) 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 26 ways as a sum of consecutive naturals, for example, 578608650 + ... + 578831148.

Almost surely, 2^{128764598807601} is an apocalyptic number.

128764598807601 is the 11347449-th square number.

128764598807601 is the 5673725-th centered octagonal number.

It is an amenable number.

128764598807601 is a deficient number, since it is larger than the sum of its proper divisors (68813956948890).

128764598807601 is an frugal number, since it uses more digits than its factorization.

128764598807601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445038 (or 222519 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 128764598807601 in words is "one hundred twenty-eight trillion, seven hundred sixty-four billion, five hundred ninety-eight million, eight hundred seven thousand, six hundred one".