128168134428672 has 1728 divisors, whose sum is σ = 451592526294000. Its totient is φ = 34649942261760.

The previous prime is 128168134428637. The next prime is 128168134428743. The reversal of 128168134428672 is 276824431861821.

128168134428672 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 6 + 8 + 1 + 344 + 286 + 7 + 2 = 666.

128168134428672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 30017424761856 + 98150709666816 = 5478816^2 + 9907104^2 .

It is a super-2 number, since 2×128168134428672² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 113523590604 + ... + 113523591732.

Almost surely, 2^{128168134428672} is an apocalyptic number.

128168134428672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128168134428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225796263147000).

128168134428672 is an abundant number, since it is smaller than the sum of its proper divisors (323424391865328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128168134428672 is a wasteful number, since it uses less digits than its factorization.

128168134428672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1224 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 128168134428672 in words is "one hundred twenty-eight trillion, one hundred sixty-eight billion, one hundred thirty-four million, four hundred twenty-eight thousand, six hundred seventy-two".