1445964144 has 160 divisors (see below), whose sum is σ = 4100570880. Its totient is φ = 437446656.

The previous prime is 1445964133. The next prime is 1445964151. The reversal of 1445964144 is 4414695441.

It is a junction number, because it is equal to n+sod(n) for n = 1445964096 and 1445964105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2463019 + ... + 2463605.

It is an arithmetic number, because the mean of its divisors is an integer number (25628568).

Almost surely, 2^1445964144 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 1445964144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050285440).

1445964144 is an abundant number, since it is smaller than the sum of its proper divisors (2654606736).

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

1445964144 is a wasteful number, since it uses less digits than its factorization.

1445964144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 1445964144 is about 38025.8352176517. The cubic root of 1445964144 is about 1130.8001078922.

The spelling of 1445964144 in words is "one billion, four hundred forty-five million, nine hundred sixty-four thousand, one hundred forty-four".