12633123888 has 240 divisors, whose sum is σ = 45996627456. Its totient is φ = 3138600960.

The previous prime is 12633123863. The next prime is 12633123907. The reversal of 12633123888 is 88832133621.

12633123888 is a `hidden beast` number, since 1 + 2 + 6 + 331 + 238 + 88 = 666.

12633123888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 230256 + ... + 279792.

Almost surely, 2^12633123888 is an apocalyptic number.

12633123888 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 12633123888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22998313728).

12633123888 is an abundant number, since it is smaller than the sum of its proper divisors (33363503568).

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

12633123888 is a wasteful number, since it uses less digits than its factorization.

12633123888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49592 (or 49583 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 12633123888 in words is "twelve billion, six hundred thirty-three million, one hundred twenty-three thousand, eight hundred eighty-eight".