225443225214432 has 96 divisors (see below), whose sum is σ = 657873667584000. Its totient is φ = 75109921467264.

The previous prime is 225443225214409. The next prime is 225443225214433. The reversal of 225443225214432 is 234412522344522.

225443225214432 is a `hidden beast` number, since 2 + 2 + 54 + 4 + 3 + 2 + 2 + 521 + 44 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225443225214433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63942432 + ... + 67375967.

It is an arithmetic number, because the mean of its divisors is an integer number (6852850704000).

Almost surely, 2^{225443225214432} is an apocalyptic number.

It is an amenable number.

225443225214432 is an abundant number, since it is smaller than the sum of its proper divisors (432430442369568).

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

225443225214432 is a wasteful number, since it uses less digits than its factorization.

225443225214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131320405 (or 131320391 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 45.

Adding to 225443225214432 its reverse (234412522344522), we get a palindrome (459855747558954).

The spelling of 225443225214432 in words is "two hundred twenty-five trillion, four hundred forty-three billion, two hundred twenty-five million, two hundred fourteen thousand, four hundred thirty-two".