12861147648 has 160 divisors (see below), whose sum is σ = 35254118592. Its totient is φ = 4163993600.

The previous prime is 12861147641. The next prime is 12861147667. The reversal of 12861147648 is 84674116821.

It is a Cunningham number, because it is equal to 113407²-1.

It is a Smith number, since the sum of its digits (48) 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 12861147597 and 12861147606.

It is not an unprimeable number, because it can be changed into a prime (12861147641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27898138 + ... + 27898598.

Almost surely, 2^12861147648 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 12861147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17627059296).

12861147648 is an abundant number, since it is smaller than the sum of its proper divisors (22392970944).

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

12861147648 is an equidigital number, since it uses as much as digits as its factorization.

12861147648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 950 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The spelling of 12861147648 in words is "twelve billion, eight hundred sixty-one million, one hundred forty-seven thousand, six hundred forty-eight".