12145208648832 has 384 divisors, whose sum is σ = 41483118643200. Its totient is φ = 3338659215360.

The previous prime is 12145208648821. The next prime is 12145208648849. The reversal of 12145208648832 is 23884680254121.

12145208648832 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 52 + 0 + 86 + 488 + 32 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 22089907 + ... + 22633037.

It is an arithmetic number, because the mean of its divisors is an integer number (108028954800).

Almost surely, 2^{12145208648832} is an apocalyptic number.

12145208648832 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 12145208648832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20741559321600).

12145208648832 is an abundant number, since it is smaller than the sum of its proper divisors (29337909994368).

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

12145208648832 is a wasteful number, since it uses less digits than its factorization.

12145208648832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543264 (or 543249 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 12145208648832 in words is "twelve trillion, one hundred forty-five billion, two hundred eight million, six hundred forty-eight thousand, eight hundred thirty-two".