12482385552 has 320 divisors, whose sum is σ = 45622080000. Its totient is φ = 3178248192.

The previous prime is 12482385551. The next prime is 12482385583. The reversal of 12482385552 is 25558328421.

12482385552 is a `hidden beast` number, since 12 + 4 + 8 + 2 + 3 + 85 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12482385498 and 12482385507.

It is not an unprimeable number, because it can be changed into a prime (12482385551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1134574 + ... + 1145522.

It is an arithmetic number, because the mean of its divisors is an integer number (142569000).

Almost surely, 2^12482385552 is an apocalyptic number.

12482385552 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 12482385552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22811040000).

12482385552 is an abundant number, since it is smaller than the sum of its proper divisors (33139694448).

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

12482385552 is a wasteful number, since it uses less digits than its factorization.

12482385552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11015 (or 11003 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The spelling of 12482385552 in words is "twelve billion, four hundred eighty-two million, three hundred eighty-five thousand, five hundred fifty-two".