12632353828542 has 576 divisors, whose sum is σ = 35347279219200. Its totient is φ = 3235703708160.

The previous prime is 12632353828403. The next prime is 12632353828559. The reversal of 12632353828542 is 24582835323621.

12632353828542 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 2 + 353 + 8 + 285 + 4 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19110973692 + ... + 19110974352.

It is an arithmetic number, because the mean of its divisors is an integer number (61366804200).

Almost surely, 2^{12632353828542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12632353828542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17673639609600).

12632353828542 is an abundant number, since it is smaller than the sum of its proper divisors (22714925390658).

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

12632353828542 is a wasteful number, since it uses less digits than its factorization.

12632353828542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1171 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 12632353828542 in words is "twelve trillion, six hundred thirty-two billion, three hundred fifty-three million, eight hundred twenty-eight thousand, five hundred forty-two".