225505403424 has 72 divisors (see below), whose sum is σ = 732892567680. Its totient is φ = 64430114688.

The previous prime is 225505403413. The next prime is 225505403489. The reversal of 225505403424 is 424304505522.

225505403424 is a `hidden beast` number, since 2 + 2 + 550 + 54 + 0 + 34 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55926904 + ... + 55930935.

It is an arithmetic number, because the mean of its divisors is an integer number (10179063440).

Almost surely, 2^225505403424 is an apocalyptic number.

225505403424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225505403424 is an abundant number, since it is smaller than the sum of its proper divisors (507387164256).

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

225505403424 is a wasteful number, since it uses less digits than its factorization.

225505403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111857862 (or 111857851 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 225505403424 its reverse (424304505522), we get a palindrome (649809908946).

The spelling of 225505403424 in words is "two hundred twenty-five billion, five hundred five million, four hundred three thousand, four hundred twenty-four".