128772604801 has 9 divisors (see below), whose sum is σ = 129396049353. Its totient is φ = 128152154880.

The previous prime is 128772604787. The next prime is 128772604813. The reversal of 128772604801 is 108406277821.

The square root of 128772604801 is 358849.

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

It can be written as a sum of positive squares in 4 ways, for example, as 207331201 + 128565273600 = 14399^2 + 358560^2 .

It is not a de Polignac number, because 128772604801 - 2¹³ = 128772596609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128772604871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 86481865 + ... + 86483353.

It is an arithmetic number, because the mean of its divisors is an integer number (14377338817).

Almost surely, 2^128772604801 is an apocalyptic number.

128772604801 is the 358849-th square number.

128772604801 is the 179425-th centered octagonal number.

It is an amenable number.

128772604801 is a deficient number, since it is larger than the sum of its proper divisors (623444552).

128772604801 is an frugal number, since it uses more digits than its factorization.

128772604801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The spelling of 128772604801 in words is "one hundred twenty-eight billion, seven hundred seventy-two million, six hundred four thousand, eight hundred one".