144205221888 has 1248 divisors, whose sum is σ = 564746515200. Its totient is φ = 35969826816.

The previous prime is 144205221863. The next prime is 144205221889. The reversal of 144205221888 is 888122502441.

It is a happy number.

144205221888 is a `hidden beast` number, since 1 + 4 + 42 + 0 + 522 + 1 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is not an unprimeable number, because it can be changed into a prime (144205221889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1620283348 + ... + 1620283436.

Almost surely, 2^144205221888 is an apocalyptic number.

144205221888 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 144205221888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282373257600).

144205221888 is an abundant number, since it is smaller than the sum of its proper divisors (420541293312).

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

144205221888 is a wasteful number, since it uses less digits than its factorization.

144205221888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 144205221888 in words is "one hundred forty-four billion, two hundred five million, two hundred twenty-one thousand, eight hundred eighty-eight".