12448646784 has 768 divisors, whose sum is σ = 46465488000. Its totient is φ = 3260694528.

The previous prime is 12448646783. The next prime is 12448646789. The reversal of 12448646784 is 48764684421.

12448646784 is a `hidden beast` number, since 1 + 2 + 448 + 64 + 67 + 84 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12448646784.

It is not an unprimeable number, because it can be changed into a prime (12448646783) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170529372 + ... + 170529444.

Almost surely, 2^12448646784 is an apocalyptic number.

12448646784 is a gapful number since it is divisible by the number (14) 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 12448646784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23232744000).

12448646784 is an abundant number, since it is smaller than the sum of its proper divisors (34016841216).

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

12448646784 is a wasteful number, since it uses less digits than its factorization.

12448646784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 12448646784 in words is "twelve billion, four hundred forty-eight million, six hundred forty-six thousand, seven hundred eighty-four".