23228608048128 has 1584 divisors, whose sum is σ = 82377393946848. Its totient is φ = 6279856128000.

The previous prime is 23228608048117. The next prime is 23228608048141. The reversal of 23228608048128 is 82184080682232.

23228608048128 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 8 + 60 + 80 + 481 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 147952917426 + ... + 147952917582.

It is an arithmetic number, because the mean of its divisors is an integer number (52005930522).

Almost surely, 2^{23228608048128} is an apocalyptic number.

23228608048128 is a gapful number since it is divisible by the number (28) 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 23228608048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41188696973424).

23228608048128 is an abundant number, since it is smaller than the sum of its proper divisors (59148785898720).

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

23228608048128 is a wasteful number, since it uses less digits than its factorization.

23228608048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 23228608048128 in words is "twenty-three trillion, two hundred twenty-eight billion, six hundred eight million, forty-eight thousand, one hundred twenty-eight".