1444673664 has 384 divisors, whose sum is σ = 5232600000. Its totient is φ = 390168576.

The previous prime is 1444673609. The next prime is 1444673669. The reversal of 1444673664 is 4663764441.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444673669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3217312 + ... + 3217760.

Almost surely, 2^1444673664 is an apocalyptic number.

1444673664 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 1444673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616300000).

1444673664 is an abundant number, since it is smaller than the sum of its proper divisors (3787926336).

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

1444673664 is a wasteful number, since it uses less digits than its factorization.

1444673664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 480 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 1444673664 is about 38008.8629664188. The cubic root of 1444673664 is about 1130.4636059431.

The spelling of 1444673664 in words is "one billion, four hundred forty-four million, six hundred seventy-three thousand, six hundred sixty-four".