12545971368 has 384 divisors, whose sum is σ = 39709824000. Its totient is φ = 3298990464.

The previous prime is 12545971363. The next prime is 12545971409. The reversal of 12545971368 is 86317954521.

12545971368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12545971368.

It is not an unprimeable number, because it can be changed into a prime (12545971363) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 187253271 + ... + 187253337.

It is an arithmetic number, because the mean of its divisors is an integer number (103411000).

Almost surely, 2^12545971368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12545971368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19854912000).

12545971368 is an abundant number, since it is smaller than the sum of its proper divisors (27163852632).

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

12545971368 is a wasteful number, since it uses less digits than its factorization.

12545971368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 145 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The spelling of 12545971368 in words is "twelve billion, five hundred forty-five million, nine hundred seventy-one thousand, three hundred sixty-eight".