12248091648 has 440 divisors, whose sum is σ = 40585001072. Its totient is φ = 3654844416.

The previous prime is 12248091631. The next prime is 12248091649. The reversal of 12248091648 is 84619084221.

12248091648 is a `hidden beast` number, since 1 + 2 + 2 + 480 + 9 + 164 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (12248091649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39895911 + ... + 39896217.

Almost surely, 2^12248091648 is an apocalyptic number.

12248091648 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 12248091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20292500536).

12248091648 is an abundant number, since it is smaller than the sum of its proper divisors (28336909424).

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

12248091648 is a wasteful number, since it uses less digits than its factorization.

12248091648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12248091648 in words is "twelve billion, two hundred forty-eight million, ninety-one thousand, six hundred forty-eight".