12481618640 has 40 divisors (see below), whose sum is σ = 29033740680. Its totient is φ = 4990242816.

The previous prime is 12481618619. The next prime is 12481618651. The reversal of 12481618640 is 4681618421.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 234212416 + 12247406224 = 15304^2 + 110668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134456 + ... + 207464.

It is an arithmetic number, because the mean of its divisors is an integer number (725843517).

Almost surely, 2^12481618640 is an apocalyptic number.

12481618640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12481618640 is an abundant number, since it is smaller than the sum of its proper divisors (16552122040).

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

12481618640 is a wasteful number, since it uses less digits than its factorization.

12481618640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75159 (or 75153 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 12481618640 in words is "twelve billion, four hundred eighty-one million, six hundred eighteen thousand, six hundred forty".