225442344960 has 416 divisors, whose sum is σ = 915987079680. Its totient is φ = 51528794112.

The previous prime is 225442344931. The next prime is 225442345027. The reversal of 225442344960 is 69443244522.

225442344960 is a `hidden beast` number, since 2 + 2 + 544 + 2 + 3 + 4 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3841599 + ... + 3899841.

Almost surely, 2^225442344960 is an apocalyptic number.

225442344960 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 225442344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457993539840).

225442344960 is an abundant number, since it is smaller than the sum of its proper divisors (690544734720).

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

225442344960 is an equidigital number, since it uses as much as digits as its factorization.

225442344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58288 (or 58260 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 225442344960 in words is "two hundred twenty-five billion, four hundred forty-two million, three hundred forty-four thousand, nine hundred sixty".