128378173401 has 45 divisors (see below), whose sum is σ = 196768965679. Its totient is φ = 83412007200.

The previous prime is 128378173379. The next prime is 128378173421. The reversal of 128378173401 is 104371873821.

The square root of 128378173401 is 358299.

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

128378173401 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 78 + 173 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6185979801 + 122192193600 = 78651^2 + 349560^2 .

It is not a de Polignac number, because 128378173401 - 2¹¹ = 128378171353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128378173421) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 132211846 + ... + 132212816.

Almost surely, 2^128378173401 is an apocalyptic number.

128378173401 is the 358299-th square number.

128378173401 is the 179150-th centered octagonal number.

It is an amenable number.

128378173401 is a deficient number, since it is larger than the sum of its proper divisors (68390792278).

128378173401 is an frugal number, since it uses more digits than its factorization.

128378173401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 128378173401 in words is "one hundred twenty-eight billion, three hundred seventy-eight million, one hundred seventy-three thousand, four hundred one".