1445047377344 has 112 divisors (see below), whose sum is σ = 2966909825376. Its totient is φ = 697847808000.

The previous prime is 1445047377341. The next prime is 1445047377359. The reversal of 1445047377344 is 4437737405441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445047377341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311631794 + ... + 311636430.

It is an arithmetic number, because the mean of its divisors is an integer number (26490266298).

Almost surely, 2^{1445047377344} 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 1445047377344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483454912688).

1445047377344 is an abundant number, since it is smaller than the sum of its proper divisors (1521862448032).

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

1445047377344 is a wasteful number, since it uses less digits than its factorization.

1445047377344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 53.

The spelling of 1445047377344 in words is "one trillion, four hundred forty-five billion, forty-seven million, three hundred seventy-seven thousand, three hundred forty-four".