12509845632 has 384 divisors, whose sum is σ = 40167763200. Its totient is φ = 3829524480.

The previous prime is 12509845609. The next prime is 12509845643. The reversal of 12509845632 is 23654890521.

12509845632 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 9 + 8 + 4 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46161657 + ... + 46161927.

It is an arithmetic number, because the mean of its divisors is an integer number (104603550).

Almost surely, 2^12509845632 is an apocalyptic number.

12509845632 is a gapful number since it is divisible by the number (12) 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 12509845632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20083881600).

12509845632 is an abundant number, since it is smaller than the sum of its proper divisors (27657917568).

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

12509845632 is a wasteful number, since it uses less digits than its factorization.

12509845632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12509845632 in words is "twelve billion, five hundred nine million, eight hundred forty-five thousand, six hundred thirty-two".