144215311101444 has 432 divisors, whose sum is σ = 426732480877248. Its totient is φ = 42233734368000.

The previous prime is 144215311101427. The next prime is 144215311101527. The reversal of 144215311101444 is 444101113512441.

144215311101444 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 1 + 531 + 110 + 1 + 4 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 144215311101399 and 144215311101408.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7778174814 + ... + 7778193354.

Almost surely, 2^{144215311101444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144215311101444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213366240438624).

144215311101444 is an abundant number, since it is smaller than the sum of its proper divisors (282517169775804).

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

144215311101444 is a wasteful number, since it uses less digits than its factorization.

144215311101444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19390 (or 19345 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 144215311101444 its reverse (444101113512441), we get a palindrome (588316424613885).

The spelling of 144215311101444 in words is "one hundred forty-four trillion, two hundred fifteen billion, three hundred eleven million, one hundred one thousand, four hundred forty-four".