1444359168 has 352 divisors, whose sum is σ = 5187916800. Its totient is φ = 387514368.

The previous prime is 1444359167. The next prime is 1444359199. The reversal of 1444359168 is 8619534441.

1444359168 is a `hidden beast` number, since 14 + 4 + 43 + 591 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444359167) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3289893 + ... + 3290331.

It is an arithmetic number, because the mean of its divisors is an integer number (14738400).

Almost surely, 2^1444359168 is an apocalyptic number.

1444359168 is a gapful number since it is divisible by the number (18) 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 1444359168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593958400).

1444359168 is an abundant number, since it is smaller than the sum of its proper divisors (3743557632).

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

1444359168 is a wasteful number, since it uses less digits than its factorization.

1444359168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 468 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1444359168 is about 38004.7256009039. The cubic root of 1444359168 is about 1130.3815684807.

The spelling of 1444359168 in words is "one billion, four hundred forty-four million, three hundred fifty-nine thousand, one hundred sixty-eight".