45025225200 has 180 divisors, whose sum is σ = 156341399760. Its totient is φ = 11999708160.

The previous prime is 45025225177. The next prime is 45025225213. The reversal of 45025225200 is 252252054.

45025225200 is a `hidden beast` number, since 450 + 2 + 5 + 2 + 2 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9822109 + ... + 9826691.

It is an arithmetic number, because the mean of its divisors is an integer number (868563332).

Almost surely, 2^45025225200 is an apocalyptic number.

45025225200 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 45025225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78170699880).

45025225200 is an abundant number, since it is smaller than the sum of its proper divisors (111316174560).

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

45025225200 is a wasteful number, since it uses less digits than its factorization.

45025225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 7322 counting only the distinct ones).

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

Adding to 45025225200 its reverse (252252054), we get a palindrome (45277477254).

The spelling of 45025225200 in words is "forty-five billion, twenty-five million, two hundred twenty-five thousand, two hundred".