45444203200 has 336 divisors, whose sum is σ = 126864880128. Its totient is φ = 15877120000.

The previous prime is 45444203179. The next prime is 45444203213. The reversal of 45444203200 is 230244454.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51233157 + ... + 51234043.

It is an arithmetic number, because the mean of its divisors is an integer number (377574048).

Almost surely, 2^45444203200 is an apocalyptic number.

45444203200 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 45444203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63432440064).

45444203200 is an abundant number, since it is smaller than the sum of its proper divisors (81420676928).

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

45444203200 is a wasteful number, since it uses less digits than its factorization.

45444203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

Adding to 45444203200 its reverse (230244454), we get a palindrome (45674447654).

The spelling of 45444203200 in words is "forty-five billion, four hundred forty-four million, two hundred three thousand, two hundred".