225437007002844 has 576 divisors, whose sum is σ = 706933071452160. Its totient is φ = 55221371412480.

The previous prime is 225437007002797. The next prime is 225437007002869. The reversal of 225437007002844 is 448200700734522.

It is a junction number, because it is equal to n+sod(n) for n = 225437007002793 and 225437007002802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25017974299 + ... + 25017983309.

It is an arithmetic number, because the mean of its divisors is an integer number (1227314360160).

Almost surely, 2^{225437007002844} 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 225437007002844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353466535726080).

225437007002844 is an abundant number, since it is smaller than the sum of its proper divisors (481496064449316).

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

225437007002844 is a wasteful number, since it uses less digits than its factorization.

225437007002844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11578 (or 11569 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 48.

The spelling of 225437007002844 in words is "two hundred twenty-five trillion, four hundred thirty-seven billion, seven million, two thousand, eight hundred forty-four".