45442454200 has 192 divisors, whose sum is σ = 125111992320. Its totient is φ = 15132096000.

The previous prime is 45442454179. The next prime is 45442454201. The reversal of 45442454200 is 245424454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45442454201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3625945 + ... + 3638455.

It is an arithmetic number, because the mean of its divisors is an integer number (651624960).

Almost surely, 2^45442454200 is an apocalyptic number.

45442454200 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 45442454200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62555996160).

45442454200 is an abundant number, since it is smaller than the sum of its proper divisors (79669538120).

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

45442454200 is a wasteful number, since it uses less digits than its factorization.

45442454200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12678 (or 12669 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 34.

Adding to 45442454200 its reverse (245424454), we get a palindrome (45687878654).

The spelling of 45442454200 in words is "forty-five billion, four hundred forty-two million, four hundred fifty-four thousand, two hundred".