144201333224232 has 128 divisors (see below), whose sum is σ = 409161331929600. Its totient is φ = 47035260002304.

The previous prime is 144201333224219. The next prime is 144201333224339. The reversal of 144201333224232 is 232422333102441.

144201333224232 is a `hidden beast` number, since 1 + 4 + 4 + 201 + 3 + 3 + 3 + 22 + 423 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 50935008 + ... + 53691504.

It is an arithmetic number, because the mean of its divisors is an integer number (3196572905700).

Almost surely, 2^{144201333224232} is an apocalyptic number.

144201333224232 is a gapful number since it is divisible by the number (12) 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 144201333224232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204580665964800).

144201333224232 is an abundant number, since it is smaller than the sum of its proper divisors (264959998705368).

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

144201333224232 is a wasteful number, since it uses less digits than its factorization.

144201333224232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761712 (or 2761702 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 144201333224232 its reverse (232422333102441), we get a palindrome (376623666326673).

The spelling of 144201333224232 in words is "one hundred forty-four trillion, two hundred one billion, three hundred thirty-three million, two hundred twenty-four thousand, two hundred thirty-two".