144301133033312 has 72 divisors (see below), whose sum is σ = 301792139271504. Its totient is φ = 67905308731392.

The previous prime is 144301133033311. The next prime is 144301133033327. The reversal of 144301133033312 is 213330331103441.

It is a happy number.

It is a super-2 number, since 2×144301133033312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144301133033311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 955770053 + ... + 955921019.

It is an arithmetic number, because the mean of its divisors is an integer number (4191557489882).

Almost surely, 2^{144301133033312} is an apocalyptic number.

It is an amenable number.

144301133033312 is an abundant number, since it is smaller than the sum of its proper divisors (157491006238192).

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

144301133033312 is a wasteful number, since it uses less digits than its factorization.

144301133033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254368 (or 254343 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 144301133033312 its reverse (213330331103441), we get a palindrome (357631464136753).

The spelling of 144301133033312 in words is "one hundred forty-four trillion, three hundred one billion, one hundred thirty-three million, thirty-three thousand, three hundred twelve".