12268827648 has 880 divisors, whose sum is σ = 48792357504. Its totient is φ = 2972712960.

The previous prime is 12268827607. The next prime is 12268827679. The reversal of 12268827648 is 84672886221.

It is a Smith number, since the sum of its digits (54) 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 (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 12268827594 and 12268827603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 108573640 + ... + 108573752.

Almost surely, 2^12268827648 is an apocalyptic number.

12268827648 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 12268827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24396178752).

12268827648 is an abundant number, since it is smaller than the sum of its proper divisors (36523529856).

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

12268827648 is a wasteful number, since it uses less digits than its factorization.

12268827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 12268827648 in words is "twelve billion, two hundred sixty-eight million, eight hundred twenty-seven thousand, six hundred forty-eight".