12564514000 has 80 divisors (see below), whose sum is σ = 31087742400. Its totient is φ = 4908892800.

The previous prime is 12564513989. The next prime is 12564514073. The reversal of 12564514000 is 41546521.

12564514000 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 (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12564514000.

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 15 ways as a sum of consecutive naturals, for example, 12951 + ... + 159049.

It is an arithmetic number, because the mean of its divisors is an integer number (388596780).

Almost surely, 2^12564514000 is an apocalyptic number.

12564514000 is a gapful number since it is divisible by the number (10) 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 12564514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15543871200).

12564514000 is an abundant number, since it is smaller than the sum of its proper divisors (18523228400).

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

12564514000 is a wasteful number, since it uses less digits than its factorization.

12564514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146165 (or 146149 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 12564514000 in words is "twelve billion, five hundred sixty-four million, five hundred fourteen thousand".