144614664 has 72 divisors (see below), whose sum is σ = 399106110. Its totient is φ = 47305728.

The previous prime is 144614653. The next prime is 144614747. The reversal of 144614664 is 466416441.

It can be written as a sum of positive squares in only one way, i.e., 78322500 + 66292164 = 8850^2 + 8142^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 250344 + ... + 250920.

Almost surely, 2^144614664 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 144614664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199553055).

144614664 is an abundant number, since it is smaller than the sum of its proper divisors (254491446).

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

144614664 is a wasteful number, since it uses less digits than its factorization.

144614664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 641 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 144614664 is about 12025.5837280358. The cubic root of 144614664 is about 524.8929958793.

It can be divided in two parts, 1446 and 14664, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 144614664 in words is "one hundred forty-four million, six hundred fourteen thousand, six hundred sixty-four".