9488068272128 has 112 divisors (see below), whose sum is σ = 19397966897664. Its totient is φ = 4638481612800.

The previous prime is 9488068272097. The next prime is 9488068272131. The reversal of 9488068272128 is 8212728608849.

It is a super-2 number, since 2×9488068272128² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404648501 + ... + 404671947.

Almost surely, 2^{9488068272128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9488068272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9698983448832).

9488068272128 is an abundant number, since it is smaller than the sum of its proper divisors (9909898625536).

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

9488068272128 is a wasteful number, since it uses less digits than its factorization.

9488068272128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24571 (or 24547 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 65.

The spelling of 9488068272128 in words is "nine trillion, four hundred eighty-eight billion, sixty-eight million, two hundred seventy-two thousand, one hundred twenty-eight".