12488142816 has 96 divisors (see below), whose sum is σ = 36862801920. Its totient is φ = 4112537472.

The previous prime is 12488142781. The next prime is 12488142817. The reversal of 12488142816 is 61824188421.

12488142816 is a `hidden beast` number, since 12 + 488 + 142 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12488142817) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15360 + ... + 158783.

It is an arithmetic number, because the mean of its divisors is an integer number (383987520).

Almost surely, 2^12488142816 is an apocalyptic number.

12488142816 is a gapful number since it is divisible by the number (16) 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 12488142816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18431400960).

12488142816 is an abundant number, since it is smaller than the sum of its proper divisors (24374659104).

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

12488142816 is a wasteful number, since it uses less digits than its factorization.

12488142816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174245 (or 174231 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The spelling of 12488142816 in words is "twelve billion, four hundred eighty-eight million, one hundred forty-two thousand, eight hundred sixteen".