144993456 has 40 divisors (see below), whose sum is σ = 416186160. Its totient is φ = 48331008.

The previous prime is 144993439. The next prime is 144993469. The reversal of 144993456 is 654399441.

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 7 ways as a sum of consecutive naturals, for example, 167385 + ... + 168248.

It is an arithmetic number, because the mean of its divisors is an integer number (10404654).

Almost surely, 2^144993456 is an apocalyptic number.

144993456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144993456 is an abundant number, since it is smaller than the sum of its proper divisors (271192704).

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

144993456 is a wasteful number, since it uses less digits than its factorization.

144993456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335650 (or 335638 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 144993456 is about 12041.3228509163. The cubic root of 144993456 is about 525.3508838019.

It can be divided in two parts, 14499 and 3456, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 144993456 in words is "one hundred forty-four million, nine hundred ninety-three thousand, four hundred fifty-six".