12153744288 has 576 divisors, whose sum is σ = 43727523840. Its totient is φ = 3124832256.

The previous prime is 12153744259. The next prime is 12153744289. The reversal of 12153744288 is 88244735121.

12153744288 is a `hidden beast` number, since 1 + 2 + 153 + 74 + 428 + 8 = 666.

12153744288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12153744289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77412306 + ... + 77412462.

It is an arithmetic number, because the mean of its divisors is an integer number (75915840).

Almost surely, 2^12153744288 is an apocalyptic number.

12153744288 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 12153744288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21863761920).

12153744288 is an abundant number, since it is smaller than the sum of its proper divisors (31573779552).

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

12153744288 is a wasteful number, since it uses less digits than its factorization.

12153744288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 12153744288 in words is "twelve billion, one hundred fifty-three million, seven hundred forty-four thousand, two hundred eighty-eight".