12389435136 has 288 divisors, whose sum is σ = 39733888320. Its totient is φ = 3785342976.

The previous prime is 12389435087. The next prime is 12389435189. The reversal of 12389435136 is 63153498321.

12389435136 is a `hidden beast` number, since 1 + 2 + 3 + 89 + 435 + 136 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12389435091 and 12389435100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15544690 + ... + 15545486.

It is an arithmetic number, because the mean of its divisors is an integer number (137964890).

Almost surely, 2^12389435136 is an apocalyptic number.

12389435136 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 12389435136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19866944160).

12389435136 is an abundant number, since it is smaller than the sum of its proper divisors (27344453184).

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

12389435136 is a wasteful number, since it uses less digits than its factorization.

12389435136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 988 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 12389435136 in words is "twelve billion, three hundred eighty-nine million, four hundred thirty-five thousand, one hundred thirty-six".