128286653687361 has 24 divisors (see below), whose sum is σ = 200737827628520. Its totient is φ = 78945633026208.

The previous prime is 128286653687359. The next prime is 128286653687363. The reversal of 128286653687361 is 163786356682821.

128286653687361 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 8 + 6 + 6 + 536 + 87 + 3 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (128286653687359) and next prime (128286653687363).

It can be written as a sum of positive squares in 4 ways, for example, as 73804318811136 + 54482334876225 = 8590944^2 + 7381215^2 .

It is not a de Polignac number, because 128286653687361 - 2¹ = 128286653687359 is a prime.

It is a super-3 number, since 3×128286653687361³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 128286653687361.

It is not an unprimeable number, because it can be changed into a prime (128286653687363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3243965806 + ... + 3244005351.

Almost surely, 2^{128286653687361} is an apocalyptic number.

It is an amenable number.

128286653687361 is a deficient number, since it is larger than the sum of its proper divisors (72451173941159).

128286653687361 is an equidigital number, since it uses as much as digits as its factorization.

128286653687361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487971202 (or 6487971173 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 128286653687361 in words is "one hundred twenty-eight trillion, two hundred eighty-six billion, six hundred fifty-three million, six hundred eighty-seven thousand, three hundred sixty-one".