45554020200 has 288 divisors, whose sum is σ = 165389023800. Its totient is φ = 11170068480.

The previous prime is 45554020189. The next prime is 45554020201. The reversal of 45554020200 is 202045554.

45554020200 is a `hidden beast` number, since 4 + 5 + 55 + 402 + 0 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 712569636 + 44841450564 = 26694^2 + 211758^2 .

It is not an unprimeable number, because it can be changed into a prime (45554020201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6290982 + ... + 6298218.

Almost surely, 2^45554020200 is an apocalyptic number.

45554020200 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 45554020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82694511900).

45554020200 is an abundant number, since it is smaller than the sum of its proper divisors (119835003600).

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

45554020200 is a wasteful number, since it uses less digits than its factorization.

45554020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7541 (or 7529 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

Adding to 45554020200 its reverse (202045554), we get a palindrome (45756065754).

The spelling of 45554020200 in words is "forty-five billion, five hundred fifty-four million, twenty thousand, two hundred".