144812161141296 has 400 divisors, whose sum is σ = 436262662640640. Its totient is φ = 41318925120000.

The previous prime is 144812161141279. The next prime is 144812161141321. The reversal of 144812161141296 is 692141161218441.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 805985071 + ... + 806164721.

Almost surely, 2^{144812161141296} is an apocalyptic number.

144812161141296 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 144812161141296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218131331320320).

144812161141296 is an abundant number, since it is smaller than the sum of its proper divisors (291450501499344).

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

144812161141296 is a wasteful number, since it uses less digits than its factorization.

144812161141296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179774 (or 179735 counting only the distinct ones).

The product of its digits is 663552, while the sum is 51.

The spelling of 144812161141296 in words is "one hundred forty-four trillion, eight hundred twelve billion, one hundred sixty-one million, one hundred forty-one thousand, two hundred ninety-six".