1444569984 has 512 divisors, whose sum is σ = 5209344000. Its totient is φ = 388177920.

The previous prime is 1444569979. The next prime is 1444569991. The reversal of 1444569984 is 4899654441.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1444569984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18285657 + ... + 18285735.

It is an arithmetic number, because the mean of its divisors is an integer number (10174500).

Almost surely, 2^1444569984 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 1444569984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604672000).

1444569984 is an abundant number, since it is smaller than the sum of its proper divisors (3764774016).

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

1444569984 is a wasteful number, since it uses less digits than its factorization.

1444569984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 1444569984 is about 38007.4990495297. The cubic root of 1444569984 is about 1130.4365619415.

The spelling of 1444569984 in words is "one billion, four hundred forty-four million, five hundred sixty-nine thousand, nine hundred eighty-four".