128798189447041 has 27 divisors (see below), whose sum is σ = 132004616711331. Its totient is φ = 125669142185664.

The previous prime is 128798189446999. The next prime is 128798189447063. The reversal of 128798189447041 is 140744981897821.

The square root of 128798189447041 is 11348929.

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

It can be written as a sum of positive squares in only one way, i.e., 2269527185025 + 126528662262016 = 1506495^2 + 11248496^2 .

It is not a de Polignac number, because 128798189447041 - 2⁹ = 128798189446529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128798189447341) 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, 85922740710 + ... + 85922742208.

Almost surely, 2^{128798189447041} is an apocalyptic number.

128798189447041 is the 11348929-th square number.

128798189447041 is the 5674465-th centered octagonal number.

It is an amenable number.

128798189447041 is a deficient number, since it is larger than the sum of its proper divisors (3206427264290).

128798189447041 is an frugal number, since it uses more digits than its factorization.

128798189447041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 73.

The spelling of 128798189447041 in words is "one hundred twenty-eight trillion, seven hundred ninety-eight billion, one hundred eighty-nine million, four hundred forty-seven thousand, forty-one".