12046608288 has 288 divisors, whose sum is σ = 41013423360. Its totient is φ = 3305502720.

The previous prime is 12046608253. The next prime is 12046608311. The reversal of 12046608288 is 88280664021.

12046608288 is a `hidden beast` number, since 12 + 0 + 4 + 6 + 608 + 28 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2179993 + ... + 2185511.

It is an arithmetic number, because the mean of its divisors is an integer number (142407720).

Almost surely, 2^12046608288 is an apocalyptic number.

12046608288 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 12046608288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20506711680).

12046608288 is an abundant number, since it is smaller than the sum of its proper divisors (28966815072).

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

12046608288 is a wasteful number, since it uses less digits than its factorization.

12046608288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 12046608288 in words is "twelve billion, forty-six million, six hundred eight thousand, two hundred eighty-eight".