225042450500 has 384 divisors, whose sum is σ = 622010188800. Its totient is φ = 69382656000.

The previous prime is 225042450469. The next prime is 225042450593. The reversal of 225042450500 is 5054240522.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117637544 + ... + 117639456.

It is an arithmetic number, because the mean of its divisors is an integer number (1619818200).

Almost surely, 2^225042450500 is an apocalyptic number.

225042450500 is a gapful number since it is divisible by the number (20) 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 225042450500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311005094400).

225042450500 is an abundant number, since it is smaller than the sum of its proper divisors (396967738300).

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

225042450500 is a wasteful number, since it uses less digits than its factorization.

225042450500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

The spelling of 225042450500 in words is "two hundred twenty-five billion, forty-two million, four hundred fifty thousand, five hundred".