12482681904 has 400 divisors, whose sum is σ = 46106691840. Its totient is φ = 3165765120.

The previous prime is 12482681899. The next prime is 12482681933. The reversal of 12482681904 is 40918628421.

12482681904 is a `hidden beast` number, since 1 + 2 + 482 + 6 + 81 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12482681904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4289602 + ... + 4292510.

Almost surely, 2^12482681904 is an apocalyptic number.

12482681904 is a gapful number since it is divisible by the number (14) 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 12482681904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23053345920).

12482681904 is an abundant number, since it is smaller than the sum of its proper divisors (33624009936).

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

12482681904 is a wasteful number, since it uses less digits than its factorization.

12482681904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12482681904 in words is "twelve billion, four hundred eighty-two million, six hundred eighty-one thousand, nine hundred four".