128358109441 has 27 divisors (see below), whose sum is σ = 138234428073. Its totient is φ = 119175265440.

The previous prime is 128358109433. The next prime is 128358109447. The reversal of 128358109441 is 144901853821.

The square root of 128358109441 is 358271.

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 8570130625 + 119787978816 = 92575^2 + 346104^2 .

It is not a de Polignac number, because 128358109441 - 2³ = 128358109433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 128358109391 and 128358109400.

It is not an unprimeable number, because it can be changed into a prime (128358109447) 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, 304888411 + ... + 304888831.

Almost surely, 2^128358109441 is an apocalyptic number.

128358109441 is the 358271-st square number.

128358109441 is the 179136-th centered octagonal number.

It is an amenable number.

128358109441 is a deficient number, since it is larger than the sum of its proper divisors (9876318632).

128358109441 is an frugal number, since it uses more digits than its factorization.

128358109441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 128358109441 in words is "one hundred twenty-eight billion, three hundred fifty-eight million, one hundred nine thousand, four hundred forty-one".