12518292644704 has 576 divisors, whose sum is σ = 34740701452800. Its totient is φ = 4369771929600.

The previous prime is 12518292644701. The next prime is 12518292644731. The reversal of 12518292644704 is 40744629281521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12518292644701) 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 95 ways as a sum of consecutive naturals, for example, 670817134 + ... + 670835794.

It is an arithmetic number, because the mean of its divisors is an integer number (60313717800).

Almost surely, 2^{12518292644704} is an apocalyptic number.

12518292644704 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 12518292644704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17370350726400).

12518292644704 is an abundant number, since it is smaller than the sum of its proper divisors (22222408808096).

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

12518292644704 is a wasteful number, since it uses less digits than its factorization.

12518292644704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18827 (or 18812 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 12518292644704 in words is "twelve trillion, five hundred eighteen billion, two hundred ninety-two million, six hundred forty-four thousand, seven hundred four".