144478210336128 has 640 divisors, whose sum is σ = 436620070656000. Its totient is φ = 47421332582400.

The previous prime is 144478210336123. The next prime is 144478210336147. The reversal of 144478210336128 is 821633012874441.

144478210336128 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 7 + 8 + 2 + 10 + 3 + 3 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144478210336123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 135152675178 + ... + 135152676246.

It is an arithmetic number, because the mean of its divisors is an integer number (682218860400).

Almost surely, 2^{144478210336128} is an apocalyptic number.

144478210336128 is a gapful number since it is divisible by the number (18) 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 144478210336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218310035328000).

144478210336128 is an abundant number, since it is smaller than the sum of its proper divisors (292141860319872).

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

144478210336128 is a wasteful number, since it uses less digits than its factorization.

144478210336128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 144478210336128 in words is "one hundred forty-four trillion, four hundred seventy-eight billion, two hundred ten million, three hundred thirty-six thousand, one hundred twenty-eight".