225351482944 has 147 divisors (see below), whose sum is σ = 524744628817. Its totient is φ = 96020945664.

The previous prime is 225351482933. The next prime is 225351482963. The reversal of 225351482944 is 449284153522.

The square root of 225351482944 is 474712.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 204991617600 + 20359865344 = 452760^2 + 142688^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

Its product of digits (2764800) is a multiple of the sum of its prime factors (400).

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 20 ways as a sum of consecutive naturals, for example, 1302609642 + ... + 1302609814.

Almost surely, 2^225351482944 is an apocalyptic number.

225351482944 is the 474712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225351482944

225351482944 is an abundant number, since it is smaller than the sum of its proper divisors (299393145873).

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

225351482944 is an frugal number, since it uses more digits than its factorization.

225351482944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 182 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 49.

Multiplying 225351482944 by its sum of digits (49), we get a square (11042222664256 = 3322984²).

225351482944 divided by its sum of digits (49) gives a square (4599009856 = 67816²).

The spelling of 225351482944 in words is "two hundred twenty-five billion, three hundred fifty-one million, four hundred eighty-two thousand, nine hundred forty-four".