12536046432 has 768 divisors, whose sum is σ = 48649144320. Its totient is φ = 3047030784.

The previous prime is 12536046421. The next prime is 12536046433. The reversal of 12536046432 is 23464063521.

12536046432 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 6 + 0 + 4 + 643 + 2 = 666.

12536046432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12536046433) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 110938408 + ... + 110938520.

It is an arithmetic number, because the mean of its divisors is an integer number (63345240).

Almost surely, 2^12536046432 is an apocalyptic number.

12536046432 is a gapful number since it is divisible by the number (12) 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 12536046432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24324572160).

12536046432 is an abundant number, since it is smaller than the sum of its proper divisors (36113097888).

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

12536046432 is a wasteful number, since it uses less digits than its factorization.

12536046432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 12536046432 in words is "twelve billion, five hundred thirty-six million, forty-six thousand, four hundred thirty-two".