225054672144 has 80 divisors (see below), whose sum is σ = 601904243520. Its totient is φ = 72375385600.

The previous prime is 225054672131. The next prime is 225054672169. The reversal of 225054672144 is 441276450522.

It is a junction number, because it is equal to n+sod(n) for n = 225054672096 and 225054672105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1757494 + ... + 1881194.

It is an arithmetic number, because the mean of its divisors is an integer number (7523803044).

Almost surely, 2^225054672144 is an apocalyptic number.

225054672144 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 225054672144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300952121760).

225054672144 is an abundant number, since it is smaller than the sum of its proper divisors (376849571376).

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

225054672144 is a wasteful number, since it uses less digits than its factorization.

225054672144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125048 (or 125042 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 225054672144 in words is "two hundred twenty-five billion, fifty-four million, six hundred seventy-two thousand, one hundred forty-four".