128537344412928 has 288 divisors, whose sum is σ = 439054703579520. Its totient is φ = 36659491799040.

The previous prime is 128537344412839. The next prime is 128537344412999. The reversal of 128537344412928 is 829214443735821.

128537344412928 is a `hidden beast` number, since 1 + 2 + 8 + 537 + 3 + 4 + 4 + 4 + 1 + 2 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48430075 + ... + 51015162.

It is an arithmetic number, because the mean of its divisors is an integer number (1524495498540).

Almost surely, 2^{128537344412928} is an apocalyptic number.

128537344412928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

128537344412928 is an abundant number, since it is smaller than the sum of its proper divisors (310517359166592).

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

128537344412928 is a wasteful number, since it uses less digits than its factorization.

128537344412928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99445290 (or 99445270 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 128537344412928 in words is "one hundred twenty-eight trillion, five hundred thirty-seven billion, three hundred forty-four million, four hundred twelve thousand, nine hundred twenty-eight".