12546456576 has 352 divisors, whose sum is σ = 36843641856. Its totient is φ = 3784704000.

The previous prime is 12546456547. The next prime is 12546456581. The reversal of 12546456576 is 67565464521.

12546456576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12546456576² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 176710621 + ... + 176710691.

Almost surely, 2^12546456576 is an apocalyptic number.

12546456576 is a gapful number since it is divisible by the number (16) 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 12546456576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18421820928).

12546456576 is an abundant number, since it is smaller than the sum of its proper divisors (24297185280).

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

12546456576 is a wasteful number, since it uses less digits than its factorization.

12546456576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 51.

The spelling of 12546456576 in words is "twelve billion, five hundred forty-six million, four hundred fifty-six thousand, five hundred seventy-six".