12458128608 has 144 divisors (see below), whose sum is σ = 36274872816. Its totient is φ = 4054579200.

The previous prime is 12458128591. The next prime is 12458128619. The reversal of 12458128608 is 80682185421.

12458128608 is a `hidden beast` number, since 1 + 2 + 4 + 581 + 2 + 8 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2120491 + ... + 2126357.

It is an arithmetic number, because the mean of its divisors is an integer number (251908839).

Almost surely, 2^12458128608 is an apocalyptic number.

12458128608 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 12458128608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18137436408).

12458128608 is an abundant number, since it is smaller than the sum of its proper divisors (23816744208).

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

12458128608 is a wasteful number, since it uses less digits than its factorization.

12458128608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6057 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 12458128608 in words is "twelve billion, four hundred fifty-eight million, one hundred twenty-eight thousand, six hundred eight".