12303828576 has 288 divisors, whose sum is σ = 39150978048. Its totient is φ = 3639720960.

The previous prime is 12303828533. The next prime is 12303828583. The reversal of 12303828576 is 67582830321.

12303828576 is a `hidden beast` number, since 1 + 23 + 0 + 38 + 28 + 576 = 666.

12303828576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26346295 + ... + 26346761.

It is an arithmetic number, because the mean of its divisors is an integer number (135940896).

Almost surely, 2^12303828576 is an apocalyptic number.

12303828576 is a gapful number since it is divisible by the number (16) 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 12303828576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19575489024).

12303828576 is an abundant number, since it is smaller than the sum of its proper divisors (26847149472).

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

12303828576 is a wasteful number, since it uses less digits than its factorization.

12303828576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12303828576 in words is "twelve billion, three hundred three million, eight hundred twenty-eight thousand, five hundred seventy-six".