12483758610432 has 336 divisors, whose sum is σ = 37471439973240. Its totient is φ = 4156091596800.

The previous prime is 12483758610403. The next prime is 12483758610437. The reversal of 12483758610432 is 23401685738421.

12483758610432 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 3 + 7 + 586 + 10 + 43 + 2 = 666.

12483758610432 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12483758610437) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1315321207 + ... + 1315330697.

Almost surely, 2^{12483758610432} is an apocalyptic number.

12483758610432 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 12483758610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18735719986620).

12483758610432 is an abundant number, since it is smaller than the sum of its proper divisors (24987681362808).

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

12483758610432 is an frugal number, since it uses more digits than its factorization.

12483758610432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10412 (or 10377 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 12483758610432 in words is "twelve trillion, four hundred eighty-three billion, seven hundred fifty-eight million, six hundred ten thousand, four hundred thirty-two".