45203254200 has 384 divisors, whose sum is σ = 168218400000. Its totient is φ = 11091064320.

The previous prime is 45203254199. The next prime is 45203254207. The reversal of 45203254200 is 245230254.

It is a happy number.

45203254200 is a `hidden beast` number, since 4 + 5 + 203 + 254 + 200 = 666.

45203254200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45203254207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26604951 + ... + 26606649.

It is an arithmetic number, because the mean of its divisors is an integer number (438068750).

Almost surely, 2^45203254200 is an apocalyptic number.

45203254200 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 45203254200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84109200000).

45203254200 is an abundant number, since it is smaller than the sum of its proper divisors (123015145800).

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

45203254200 is a wasteful number, since it uses less digits than its factorization.

45203254200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 45203254200 its reverse (245230254), we get a palindrome (45448484454).

The spelling of 45203254200 in words is "forty-five billion, two hundred three million, two hundred fifty-four thousand, two hundred".