945009327744 has 320 divisors, whose sum is σ = 2864666075040. Its totient is φ = 309175916544.

The previous prime is 945009327709. The next prime is 945009327749. The reversal of 945009327744 is 447723900549.

945009327744 is a `hidden beast` number, since 9 + 4 + 500 + 93 + 2 + 7 + 7 + 44 = 666.

945009327744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (945009327749) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 203531887 + ... + 203536529.

Almost surely, 2^945009327744 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 945009327744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432333037520).

945009327744 is an abundant number, since it is smaller than the sum of its proper divisors (1919656747296).

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

945009327744 is a wasteful number, since it uses less digits than its factorization.

945009327744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 945009327744 in words is "nine hundred forty-five billion, nine million, three hundred twenty-seven thousand, seven hundred forty-four".