225909877144 has 96 divisors (see below), whose sum is σ = 495500544000. Its totient is φ = 96277108032.

The previous prime is 225909877033. The next prime is 225909877147. The reversal of 225909877144 is 441778909522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225909877147) 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, 57642817 + ... + 57646735.

It is an arithmetic number, because the mean of its divisors is an integer number (5161464000).

Almost surely, 2^225909877144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225909877144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247750272000).

225909877144 is an abundant number, since it is smaller than the sum of its proper divisors (269590666856).

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

225909877144 is a wasteful number, since it uses less digits than its factorization.

225909877144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 225909877144 in words is "two hundred twenty-five billion, nine hundred nine million, eight hundred seventy-seven thousand, one hundred forty-four".