12785024448 has 280 divisors, whose sum is σ = 44810172000. Its totient is φ = 3526612992.

The previous prime is 12785024443. The next prime is 12785024449. The reversal of 12785024448 is 84442058721.

12785024448 is a `hidden beast` number, since 127 + 85 + 0 + 2 + 4 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12785024443) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1046278 + ... + 1058426.

Almost surely, 2^12785024448 is an apocalyptic number.

12785024448 is a gapful number since it is divisible by the number (18) 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 12785024448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22405086000).

12785024448 is an abundant number, since it is smaller than the sum of its proper divisors (32025147552).

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

12785024448 is a wasteful number, since it uses less digits than its factorization.

12785024448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12209 (or 12190 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 12785024448 in words is "twelve billion, seven hundred eighty-five million, twenty-four thousand, four hundred forty-eight".