225034351404576 has 192 divisors, whose sum is σ = 677568754372608. Its totient is φ = 64060887840768.

The previous prime is 225034351404553. The next prime is 225034351404589. The reversal of 225034351404576 is 675404153430522.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463127385 + ... + 463613031.

It is an arithmetic number, because the mean of its divisors is an integer number (3529003929024).

Almost surely, 2^{225034351404576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225034351404576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338784377186304).

225034351404576 is an abundant number, since it is smaller than the sum of its proper divisors (452534402968032).

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

225034351404576 is a wasteful number, since it uses less digits than its factorization.

225034351404576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488183 (or 488175 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 51.

The spelling of 225034351404576 in words is "two hundred twenty-five trillion, thirty-four billion, three hundred fifty-one million, four hundred four thousand, five hundred seventy-six".