225952680384 has 280 divisors, whose sum is σ = 706851266000. Its totient is φ = 71170928640.

The previous prime is 225952680377. The next prime is 225952680389. The reversal of 225952680384 is 483086259522.

225952680384 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 526 + 80 + 38 + 4 = 666.

It is a super-2 number, since 2×225952680384² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 225952680384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225952680389) 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 39 ways as a sum of consecutive naturals, for example, 41464092 + ... + 41469540.

Almost surely, 2^225952680384 is an apocalyptic number.

225952680384 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 225952680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353425633000).

225952680384 is an abundant number, since it is smaller than the sum of its proper divisors (480898585616).

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

225952680384 is a wasteful number, since it uses less digits than its factorization.

225952680384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5913 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 225952680384 in words is "two hundred twenty-five billion, nine hundred fifty-two million, six hundred eighty thousand, three hundred eighty-four".