144353664 has 448 divisors, whose sum is σ = 561889440. Its totient is φ = 35831808.

The previous prime is 144353663. The next prime is 144353669. The reversal of 144353664 is 466353441.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144353663) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8491384 + ... + 8491400.

Almost surely, 2^144353664 is an apocalyptic number.

144353664 is a gapful number since it is divisible by the number (14) 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 144353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280944720).

144353664 is an abundant number, since it is smaller than the sum of its proper divisors (417535776).

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

144353664 is an equidigital number, since it uses as much as digits as its factorization.

144353664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 144353664 is about 12014.7269631898. The cubic root of 144353664 is about 524.5770307525.

The spelling of 144353664 in words is "one hundred forty-four million, three hundred fifty-three thousand, six hundred sixty-four".