225015446500 has 192 divisors, whose sum is σ = 539045095680. Its totient is φ = 81551923200.

The previous prime is 225015446479. The next prime is 225015446531. The reversal of 225015446500 is 5644510522.

225015446500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151117756 + ... + 151119244.

It is an arithmetic number, because the mean of its divisors is an integer number (2807526540).

Almost surely, 2^225015446500 is an apocalyptic number.

225015446500 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 225015446500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269522547840).

225015446500 is an abundant number, since it is smaller than the sum of its proper divisors (314029649180).

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

225015446500 is a wasteful number, since it uses less digits than its factorization.

225015446500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 225015446500 in words is "two hundred twenty-five billion, fifteen million, four hundred forty-six thousand, five hundred".