45344000320 has 112 divisors (see below), whose sum is σ = 108900650880. Its totient is φ = 17982777344.

The previous prime is 45344000309. The next prime is 45344000353. The reversal of 45344000320 is 2300044354.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27200127 + ... + 27201793.

It is an arithmetic number, because the mean of its divisors is an integer number (972327240).

Almost surely, 2^45344000320 is an apocalyptic number.

45344000320 is a gapful number since it is divisible by the number (40) 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 45344000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54450325440).

45344000320 is an abundant number, since it is smaller than the sum of its proper divisors (63556650560).

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

45344000320 is a wasteful number, since it uses less digits than its factorization.

45344000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 45344000320 its reverse (2300044354), we get a palindrome (47644044674).

The spelling of 45344000320 in words is "forty-five billion, three hundred forty-four million, three hundred twenty", and thus it is an aban number.