12549884256 has 768 divisors, whose sum is σ = 49132339200. Its totient is φ = 3023308800.

The previous prime is 12549884231. The next prime is 12549884293. The reversal of 12549884256 is 65248894521.

12549884256 is a `hidden beast` number, since 1 + 2 + 549 + 8 + 8 + 42 + 56 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5529600) is a multiple of the sum of its prime factors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46309401 + ... + 46309671.

It is an arithmetic number, because the mean of its divisors is an integer number (63974400).

Almost surely, 2^12549884256 is an apocalyptic number.

12549884256 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 12549884256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24566169600).

12549884256 is an abundant number, since it is smaller than the sum of its proper divisors (36582454944).

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

12549884256 is a wasteful number, since it uses less digits than its factorization.

12549884256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 12549884256 in words is "twelve billion, five hundred forty-nine million, eight hundred eighty-four thousand, two hundred fifty-six".