128226054528 has 768 divisors, whose sum is σ = 463535654400. Its totient is φ = 33443020800.

The previous prime is 128226054461. The next prime is 128226054529. The reversal of 128226054528 is 825450622821.

128226054528 is a `hidden beast` number, since 1 + 2 + 8 + 22 + 60 + 545 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128226054529) 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 95 ways as a sum of consecutive naturals, for example, 222228576 + ... + 222229152.

It is an arithmetic number, because the mean of its divisors is an integer number (603562050).

Almost surely, 2^128226054528 is an apocalyptic number.

128226054528 is a gapful number since it is divisible by the number (18) 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 128226054528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231767827200).

128226054528 is an abundant number, since it is smaller than the sum of its proper divisors (335309599872).

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

128226054528 is a wasteful number, since it uses less digits than its factorization.

128226054528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 128226054528 in words is "one hundred twenty-eight billion, two hundred twenty-six million, fifty-four thousand, five hundred twenty-eight".