144343533472128 has 256 divisors, whose sum is σ = 444605025600000. Its totient is φ = 46015455062016.

The previous prime is 144343533472121. The next prime is 144343533472129. The reversal of 144343533472128 is 821274335343441.

144343533472128 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 43 + 5 + 3 + 3 + 472 + 128 = 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 (144343533472121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525993898 + ... + 526268246.

It is an arithmetic number, because the mean of its divisors is an integer number (1736738381250).

Almost surely, 2^{144343533472128} is an apocalyptic number.

144343533472128 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 144343533472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222302512800000).

144343533472128 is an abundant number, since it is smaller than the sum of its proper divisors (300261492127872).

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

144343533472128 is a wasteful number, since it uses less digits than its factorization.

144343533472128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281014 (or 280996 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 54.

The spelling of 144343533472128 in words is "one hundred forty-four trillion, three hundred forty-three billion, five hundred thirty-three million, four hundred seventy-two thousand, one hundred twenty-eight".