128916063682641 has 63 divisors (see below), whose sum is σ = 194303556012267. Its totient is φ = 85493806140960.

The previous prime is 128916063682619. The next prime is 128916063682669. The reversal of 128916063682641 is 146286360619821.

The square root of 128916063682641 is 11354121.

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

128916063682641 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 1 + 6 + 0 + 6 + 368 + 264 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94349848158225 + 34566215524416 = 9713385^2 + 5879304^2 .

It is not a de Polignac number, because 128916063682641 - 2³³ = 128907473748049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128916063682141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 64684426341 + ... + 64684428333.

Almost surely, 2^{128916063682641} is an apocalyptic number.

128916063682641 is the 11354121-st square number.

128916063682641 is the 5677061-st centered octagonal number.

It is an amenable number.

128916063682641 is a deficient number, since it is larger than the sum of its proper divisors (65387492329626).

128916063682641 is an frugal number, since it uses more digits than its factorization.

128916063682641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 128916063682641 in words is "one hundred twenty-eight trillion, nine hundred sixteen billion, sixty-three million, six hundred eighty-two thousand, six hundred forty-one".