12545634528 has 288 divisors, whose sum is σ = 42343741440. Its totient is φ = 3447843840.

The previous prime is 12545634419. The next prime is 12545634539. The reversal of 12545634528 is 82543654521.

12545634528 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 5 + 634 + 5 + 2 + 8 = 666.

12545634528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12311203 + ... + 12312221.

It is an arithmetic number, because the mean of its divisors is an integer number (147026880).

Almost surely, 2^12545634528 is an apocalyptic number.

12545634528 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 12545634528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21171870720).

12545634528 is an abundant number, since it is smaller than the sum of its proper divisors (29798106912).

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

12545634528 is a wasteful number, since it uses less digits than its factorization.

12545634528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1259 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 12545634528 in words is "twelve billion, five hundred forty-five million, six hundred thirty-four thousand, five hundred twenty-eight".