1444467648 has 112 divisors (see below), whose sum is σ = 4129284096. Its totient is φ = 442997760.

The previous prime is 1444467589. The next prime is 1444467691. The reversal of 1444467648 is 8467644441.

It is a super-2 number, since 2×1444467648² = 4172973572237303808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1444467597 and 1444467606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955213 + ... + 956723.

It is an arithmetic number, because the mean of its divisors is an integer number (36868608).

Almost surely, 2^1444467648 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 1444467648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064642048).

1444467648 is an abundant number, since it is smaller than the sum of its proper divisors (2684816448).

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

1444467648 is a wasteful number, since it uses less digits than its factorization.

1444467648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1912 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The square root of 1444467648 is about 38006.1527650458. The cubic root of 1444467648 is about 1130.4098672413.

The spelling of 1444467648 in words is "one billion, four hundred forty-four million, four hundred sixty-seven thousand, six hundred forty-eight".