128243824621441 has 27 divisors (see below), whose sum is σ = 132299346652137. Its totient is φ = 124310164920480.

The previous prime is 128243824621403. The next prime is 128243824621457. The reversal of 128243824621441 is 144126428342821.

The square root of 128243824621441 is 11324479.

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 8562500130625 + 119681324490816 = 2926175^2 + 10939896^2 .

It is not a de Polignac number, because 128243824621441 - 2¹³ = 128243824613249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128243824621141) 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, 176401409020 + ... + 176401409746.

It is an arithmetic number, because the mean of its divisors is an integer number (4899975801931).

Almost surely, 2^{128243824621441} is an apocalyptic number.

128243824621441 is the 11324479-th square number.

128243824621441 is the 5662240-th centered octagonal number.

It is an amenable number.

128243824621441 is a deficient number, since it is larger than the sum of its proper divisors (4055522030696).

128243824621441 is an frugal number, since it uses more digits than its factorization.

128243824621441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 1185 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 52.

The spelling of 128243824621441 in words is "one hundred twenty-eight trillion, two hundred forty-three billion, eight hundred twenty-four million, six hundred twenty-one thousand, four hundred forty-one".