12887011648 has 112 divisors (see below), whose sum is σ = 30438547200. Its totient is φ = 5296435200.

The previous prime is 12887011603. The next prime is 12887011673. The reversal of 12887011648 is 84611078821.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 12887011598 and 12887011607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1958508 + ... + 1965076.

Almost surely, 2^12887011648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12887011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15219273600).

12887011648 is an abundant number, since it is smaller than the sum of its proper divisors (17551535552).

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

12887011648 is a wasteful number, since it uses less digits than its factorization.

12887011648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 46.

The spelling of 12887011648 in words is "twelve billion, eight hundred eighty-seven million, eleven thousand, six hundred forty-eight".