12609128448 has 432 divisors, whose sum is σ = 44277891840. Its totient is φ = 3440295936.

The previous prime is 12609128417. The next prime is 12609128453. The reversal of 12609128448 is 84482190621.

12609128448 is a `hidden beast` number, since 12 + 609 + 1 + 28 + 4 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20772561 + ... + 20773167.

It is an arithmetic number, because the mean of its divisors is an integer number (102495120).

Almost surely, 2^12609128448 is an apocalyptic number.

12609128448 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 12609128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138945920).

12609128448 is an abundant number, since it is smaller than the sum of its proper divisors (31668763392).

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

12609128448 is a wasteful number, since it uses less digits than its factorization.

12609128448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12609128448 in words is "twelve billion, six hundred nine million, one hundred twenty-eight thousand, four hundred forty-eight".