128450606544 has 640 divisors, whose sum is σ = 437551994880. Its totient is φ = 35714359296.

The previous prime is 128450606533. The next prime is 128450606549. The reversal of 128450606544 is 445606054821.

It is a happy number.

128450606544 is a `hidden beast` number, since 1 + 2 + 8 + 45 + 0 + 60 + 6 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 128450606544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128450606549) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 275054599 + ... + 275055065.

It is an arithmetic number, because the mean of its divisors is an integer number (683674992).

Almost surely, 2^128450606544 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 128450606544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218775997440).

128450606544 is an abundant number, since it is smaller than the sum of its proper divisors (309101388336).

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

128450606544 is a wasteful number, since it uses less digits than its factorization.

128450606544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 128450606544 in words is "one hundred twenty-eight billion, four hundred fifty million, six hundred six thousand, five hundred forty-four".