225253481544 has 192 divisors, whose sum is σ = 759893097600. Its totient is φ = 58691616768.

The previous prime is 225253481527. The next prime is 225253481573. The reversal of 225253481544 is 445184352522.

225253481544 is a `hidden beast` number, since 2 + 2 + 5 + 25 + 3 + 4 + 81 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 225253481544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336712 + ... + 750920.

It is an arithmetic number, because the mean of its divisors is an integer number (3957776550).

Almost surely, 2^225253481544 is an apocalyptic number.

225253481544 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 225253481544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379946548800).

225253481544 is an abundant number, since it is smaller than the sum of its proper divisors (534639616056).

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

225253481544 is a wasteful number, since it uses less digits than its factorization.

225253481544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414324 (or 414317 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 45.

The spelling of 225253481544 in words is "two hundred twenty-five billion, two hundred fifty-three million, four hundred eighty-one thousand, five hundred forty-four".