225335041344 has 448 divisors, whose sum is σ = 809470771200. Its totient is φ = 60000362496.

The previous prime is 225335041339. The next prime is 225335041369. The reversal of 225335041344 is 443140533522.

225335041344 is a `hidden beast` number, since 2 + 2 + 533 + 50 + 41 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 225335041299 and 225335041308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21174777 + ... + 21185415.

It is an arithmetic number, because the mean of its divisors is an integer number (1806854400).

Almost surely, 2^225335041344 is an apocalyptic number.

225335041344 is a gapful number since it is divisible by the number (24) 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 225335041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404735385600).

225335041344 is an abundant number, since it is smaller than the sum of its proper divisors (584135729856).

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

225335041344 is a wasteful number, since it uses less digits than its factorization.

225335041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10787 (or 10771 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 225335041344 its reverse (443140533522), we get a palindrome (668475574866).

The spelling of 225335041344 in words is "two hundred twenty-five billion, three hundred thirty-five million, forty-one thousand, three hundred forty-four".