12847880448 has 216 divisors, whose sum is σ = 41373241728. Its totient is φ = 3952945152.

The previous prime is 12847880393. The next prime is 12847880459. The reversal of 12847880448 is 84408874821.

12847880448 is a `hidden beast` number, since 128 + 4 + 78 + 8 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×12847880448² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12847880394 and 12847880403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800761 + ... + 816647.

Almost surely, 2^12847880448 is an apocalyptic number.

12847880448 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 12847880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20686620864).

12847880448 is an abundant number, since it is smaller than the sum of its proper divisors (28525361280).

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

12847880448 is an equidigital number, since it uses as much as digits as its factorization.

12847880448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15931 (or 15905 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 12847880448 in words is "twelve billion, eight hundred forty-seven million, eight hundred eighty thousand, four hundred forty-eight".