12148890624 has 440 divisors, whose sum is σ = 41195301840. Its totient is φ = 3535405056.

The previous prime is 12148890623. The next prime is 12148890629. The reversal of 12148890624 is 42609884121.

12148890624 is a `hidden beast` number, since 1 + 2 + 14 + 8 + 8 + 9 + 0 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12148890624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12148890623) 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, 20486872 + ... + 20487464.

It is an arithmetic number, because the mean of its divisors is an integer number (93625686).

Almost surely, 2^12148890624 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 12148890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20597650920).

12148890624 is an abundant number, since it is smaller than the sum of its proper divisors (29046411216).

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

12148890624 is a wasteful number, since it uses less digits than its factorization.

12148890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 630 counting only the distinct ones).

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

The spelling of 12148890624 in words is "twelve billion, one hundred forty-eight million, eight hundred ninety thousand, six hundred twenty-four".