225982052352 has 576 divisors, whose sum is σ = 784000788480. Its totient is φ = 61312204800.

The previous prime is 225982052339. The next prime is 225982052357. The reversal of 225982052352 is 253250289522.

225982052352 is a `hidden beast` number, since 2 + 2 + 5 + 98 + 205 + 2 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 225982052298 and 225982052307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225982052357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804206452 + ... + 804206732.

It is an arithmetic number, because the mean of its divisors is an integer number (1361112480).

Almost surely, 2^225982052352 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 225982052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392000394240).

225982052352 is an abundant number, since it is smaller than the sum of its proper divisors (558018736128).

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

225982052352 is a wasteful number, since it uses less digits than its factorization.

225982052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 225982052352 in words is "two hundred twenty-five billion, nine hundred eighty-two million, fifty-two thousand, three hundred fifty-two".