12636243888048 has 960 divisors, whose sum is σ = 42929120931840. Its totient is φ = 3424861440000.

The previous prime is 12636243888013. The next prime is 12636243888083. The reversal of 12636243888048 is 84088834263621.

12636243888048 is a `hidden beast` number, since 1 + 2 + 63 + 62 + 438 + 8 + 80 + 4 + 8 = 666.

12636243888048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12636243888013) and next prime (12636243888083).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30014830878 + ... + 30014831298.

It is an arithmetic number, because the mean of its divisors is an integer number (44717834304).

Almost surely, 2^{12636243888048} is an apocalyptic number.

12636243888048 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 12636243888048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464560465920).

12636243888048 is an abundant number, since it is smaller than the sum of its proper divisors (30292877043792).

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

12636243888048 is a wasteful number, since it uses less digits than its factorization.

12636243888048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 12636243888048 in words is "twelve trillion, six hundred thirty-six billion, two hundred forty-three million, eight hundred eighty-eight thousand, forty-eight".