225041670144 has 504 divisors, whose sum is σ = 696492444960. Its totient is φ = 72666906624.

The previous prime is 225041670121. The next prime is 225041670149. The reversal of 225041670144 is 441076140522.

225041670144 is a `hidden beast` number, since 2 + 2 + 504 + 1 + 6 + 7 + 0 + 144 = 666.

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 = 225041670099 and 225041670108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225041670149) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2848628697 + ... + 2848628775.

Almost surely, 2^225041670144 is an apocalyptic number.

225041670144 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 225041670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348246222480).

225041670144 is an abundant number, since it is smaller than the sum of its proper divisors (471450774816).

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

225041670144 is an frugal number, since it uses more digits than its factorization.

225041670144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 225041670144 in words is "two hundred twenty-five billion, forty-one million, six hundred seventy thousand, one hundred forty-four".