225221419008 has 168 divisors, whose sum is σ = 662886914508. Its totient is φ = 73656041472.

The previous prime is 225221418991. The next prime is 225221419013. The reversal of 225221419008 is 800914122522.

225221419008 is a `hidden beast` number, since 2 + 2 + 522 + 1 + 41 + 90 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 219293650944 + 5927768064 = 468288^2 + 76992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3878766 + ... + 3936402.

Almost surely, 2^225221419008 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 225221419008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331443457254).

225221419008 is an abundant number, since it is smaller than the sum of its proper divisors (437665495500).

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

225221419008 is an equidigital number, since it uses as much as digits as its factorization.

225221419008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57722 (or 57695 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 225221419008 in words is "two hundred twenty-five billion, two hundred twenty-one million, four hundred nineteen thousand, eight".