225455040144 has 80 divisors (see below), whose sum is σ = 647370619200. Its totient is φ = 75124836864.

The previous prime is 225455040143. The next prime is 225455040149. The reversal of 225455040144 is 441040554522.

225455040144 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 5 + 504 + 0 + 144 = 666.

225455040144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 225455040099 and 225455040108.

It is not an unprimeable number, because it can be changed into a prime (225455040143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1136392 + ... + 1319960.

It is an arithmetic number, because the mean of its divisors is an integer number (8092132740).

Almost surely, 2^225455040144 is an apocalyptic number.

225455040144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225455040144 is an abundant number, since it is smaller than the sum of its proper divisors (421915579056).

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

225455040144 is a wasteful number, since it uses less digits than its factorization.

225455040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186429 (or 186417 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 225455040144 its reverse (441040554522), we get a palindrome (666495594666).

The spelling of 225455040144 in words is "two hundred twenty-five billion, four hundred fifty-five million, forty thousand, one hundred forty-four".