225541407744 has 495 divisors, whose sum is σ = 722911414863. Its totient is φ = 70028623872.

The previous prime is 225541407739. The next prime is 225541407907. The reversal of 225541407744 is 447704145522.

The square root of 225541407744 is 474912.

It is a perfect power (a square), and thus also a powerful number.

225541407744 is a `hidden beast` number, since 2 + 25 + 541 + 40 + 7 + 7 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13204767744 + 212336640000 = 114912^2 + 460800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225541407744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2325169104 + ... + 2325169200.

Almost surely, 2^225541407744 is an apocalyptic number.

225541407744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

225541407744 is the 474912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225541407744

225541407744 is an abundant number, since it is smaller than the sum of its proper divisors (497370007119).

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

225541407744 is an frugal number, since it uses more digits than its factorization.

225541407744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 45.

The spelling of 225541407744 in words is "two hundred twenty-five billion, five hundred forty-one million, four hundred seven thousand, seven hundred forty-four".