225341416080 has 120 divisors (see below), whose sum is σ = 825569035200. Its totient is φ = 54628220160.

The previous prime is 225341416061. The next prime is 225341416081. The reversal of 225341416080 is 80614143522.

It is a happy number.

225341416080 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 4 + 1 + 41 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (225341416081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14218180 + ... + 14234019.

It is an arithmetic number, because the mean of its divisors is an integer number (6879741960).

Almost surely, 2^225341416080 is an apocalyptic number.

225341416080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225341416080 is an abundant number, since it is smaller than the sum of its proper divisors (600227619120).

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

225341416080 is a wasteful number, since it uses less digits than its factorization.

225341416080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28452229 (or 28452220 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 225341416080 in words is "two hundred twenty-five billion, three hundred forty-one million, four hundred sixteen thousand, eighty".