144411984 has 80 divisors (see below), whose sum is σ = 419735040. Its totient is φ = 48125664.

The previous prime is 144411983. The next prime is 144411997. The reversal of 144411984 is 489114441.

It is a super-2 number, since 2×144411984² = 41709642245632512, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144411983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32929 + ... + 37055.

It is an arithmetic number, because the mean of its divisors is an integer number (5246688).

Almost surely, 2^144411984 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 144411984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209867520).

144411984 is an abundant number, since it is smaller than the sum of its proper divisors (275323056).

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

144411984 is an frugal number, since it uses more digits than its factorization.

144411984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4132 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 144411984 is about 12017.1537395508. The cubic root of 144411984 is about 524.6476656375.

The spelling of 144411984 in words is "one hundred forty-four million, four hundred eleven thousand, nine hundred eighty-four".