12144007280664 has 512 divisors, whose sum is σ = 40118727475200. Its totient is φ = 3330678528000.

The previous prime is 12144007280611. The next prime is 12144007280693. The reversal of 12144007280664 is 46608270044121.

12144007280664 is a `hidden beast` number, since 1 + 2 + 1 + 440 + 0 + 72 + 80 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3061255209 + ... + 3061259175.

It is an arithmetic number, because the mean of its divisors is an integer number (78356889600).

Almost surely, 2^{12144007280664} is an apocalyptic number.

12144007280664 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 12144007280664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20059363737600).

12144007280664 is an abundant number, since it is smaller than the sum of its proper divisors (27974720194536).

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

12144007280664 is a wasteful number, since it uses less digits than its factorization.

12144007280664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 12144007280664 in words is "twelve trillion, one hundred forty-four billion, seven million, two hundred eighty thousand, six hundred sixty-four".