144301144212432 has 120 divisors (see below), whose sum is σ = 406351545747264. Its totient is φ = 47802360771072.

The previous prime is 144301144212413. The next prime is 144301144212473. The reversal of 144301144212432 is 234212441103441.

144301144212432 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 0 + 1 + 1 + 4 + 4 + 212 + 432 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13436013 + ... + 21659379.

Almost surely, 2^{144301144212432} is an apocalyptic number.

144301144212432 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 144301144212432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203175772873632).

144301144212432 is an abundant number, since it is smaller than the sum of its proper divisors (262050401534832).

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

144301144212432 is a wasteful number, since it uses less digits than its factorization.

144301144212432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8224137 (or 8224128 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 144301144212432 its reverse (234212441103441), we get a palindrome (378513585315873).

The spelling of 144301144212432 in words is "one hundred forty-four trillion, three hundred one billion, one hundred forty-four million, two hundred twelve thousand, four hundred thirty-two".