144003114450 has 144 divisors (see below), whose sum is σ = 416851835400. Its totient is φ = 35429667840.

The previous prime is 144003114433. The next prime is 144003114503. The reversal of 144003114450 is 54411300441.

144003114450 is a `hidden beast` number, since 1 + 440 + 0 + 31 + 144 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 840014289 + 143163100161 = 28983^2 + 378369^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15398376 + ... + 15407724.

Almost surely, 2^144003114450 is an apocalyptic number.

144003114450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144003114450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208425917700).

144003114450 is an abundant number, since it is smaller than the sum of its proper divisors (272848720950).

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

144003114450 is a wasteful number, since it uses less digits than its factorization.

144003114450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12013 (or 12005 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 144003114450 its reverse (54411300441), we get a palindrome (198414414891).

The spelling of 144003114450 in words is "one hundred forty-four billion, three million, one hundred fourteen thousand, four hundred fifty".