225614517472 has 96 divisors (see below), whose sum is σ = 476396121600. Its totient is φ = 104866265088.

The previous prime is 225614517437. The next prime is 225614517473. The reversal of 225614517472 is 274715416522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225614517473) 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 15 ways as a sum of consecutive naturals, for example, 7814808 + ... + 7843624.

It is an arithmetic number, because the mean of its divisors is an integer number (4962459600).

Almost surely, 2^225614517472 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 225614517472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238198060800).

225614517472 is an abundant number, since it is smaller than the sum of its proper divisors (250781604128).

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

225614517472 is a wasteful number, since it uses less digits than its factorization.

225614517472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29088 (or 29080 counting only the distinct ones).

The product of its digits is 940800, while the sum is 46.

The spelling of 225614517472 in words is "two hundred twenty-five billion, six hundred fourteen million, five hundred seventeen thousand, four hundred seventy-two".