45541424100200 has 192 divisors, whose sum is σ = 126298379243520. Its totient is φ = 14932130400000.

The previous prime is 45541424100191. The next prime is 45541424100281. The reversal of 45541424100200 is 200142414554.

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, 152833355 + ... + 153131045.

It is an arithmetic number, because the mean of its divisors is an integer number (657804058560).

Almost surely, 2^{45541424100200} is an apocalyptic number.

45541424100200 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 45541424100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63149189621760).

45541424100200 is an abundant number, since it is smaller than the sum of its proper divisors (80756955143320).

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

45541424100200 is a wasteful number, since it uses less digits than its factorization.

45541424100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302488 (or 302479 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 45541424100200 its reverse (200142414554), we get a palindrome (45741566514754).

The spelling of 45541424100200 in words is "forty-five trillion, five hundred forty-one billion, four hundred twenty-four million, one hundred thousand, two hundred".