12144616078504 has 256 divisors, whose sum is σ = 29941825536000. Its totient is φ = 4487034424320.

The previous prime is 12144616078433. The next prime is 12144616078531. The reversal of 12144616078504 is 40587061644121.

12144616078504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2344970587 + ... + 2344975765.

It is an arithmetic number, because the mean of its divisors is an integer number (116960256000).

Almost surely, 2^{12144616078504} is an apocalyptic number.

12144616078504 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 12144616078504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14970912768000).

12144616078504 is an abundant number, since it is smaller than the sum of its proper divisors (17797209457496).

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

12144616078504 is a wasteful number, since it uses less digits than its factorization.

12144616078504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8848 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 12144616078504 in words is "twelve trillion, one hundred forty-four billion, six hundred sixteen million, seventy-eight thousand, five hundred four".