12144477190464 has 168 divisors, whose sum is σ = 35554101672960. Its totient is φ = 3961636488192.

The previous prime is 12144477190441. The next prime is 12144477190471. The reversal of 12144477190464 is 46409177444121.

It is a happy number.

12144477190464 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 447 + 7 + 190 + 4 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12144477190464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423093937 + ... + 423122639.

Almost surely, 2^{12144477190464} 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 12144477190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777050836480).

12144477190464 is an abundant number, since it is smaller than the sum of its proper divisors (23409624482496).

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

12144477190464 is a wasteful number, since it uses less digits than its factorization.

12144477190464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44397 (or 44384 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 12144477190464 in words is "twelve trillion, one hundred forty-four billion, four hundred seventy-seven million, one hundred ninety thousand, four hundred sixty-four".