12488044990464 has 1456 divisors, whose sum is σ = 41763565063440. Its totient is φ = 3715041853440.

The previous prime is 12488044990451. The next prime is 12488044990567. The reversal of 12488044990464 is 46409944088421.

12488044990464 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 80 + 4 + 4 + 9 + 90 + 464 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 376308633600 + 12111736356864 = 613440^2 + 3480192^2 .

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 111 ways as a sum of consecutive naturals, for example, 114569220042 + ... + 114569220150.

Almost surely, 2^{12488044990464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12488044990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20881782531720).

12488044990464 is an abundant number, since it is smaller than the sum of its proper divisors (29275520072976).

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

12488044990464 is an equidigital number, since it uses as much as digits as its factorization.

12488044990464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 12488044990464 in words is "twelve trillion, four hundred eighty-eight billion, forty-four million, nine hundred ninety thousand, four hundred sixty-four".