45220320200 has 96 divisors (see below), whose sum is σ = 114760467360. Its totient is φ = 16434393600.

The previous prime is 45220320181. The next prime is 45220320209. The reversal of 45220320200 is 202302254.

45220320200 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 (20).

It is not an unprimeable number, because it can be changed into a prime (45220320209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4731827 + ... + 4741373.

It is an arithmetic number, because the mean of its divisors is an integer number (1195421535).

Almost surely, 2^45220320200 is an apocalyptic number.

45220320200 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 45220320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57380233680).

45220320200 is an abundant number, since it is smaller than the sum of its proper divisors (69540147160).

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

45220320200 is a wasteful number, since it uses less digits than its factorization.

45220320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11727 (or 11718 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 45220320200 its reverse (202302254), we get a palindrome (45422622454).

The spelling of 45220320200 in words is "forty-five billion, two hundred twenty million, three hundred twenty thousand, two hundred".