225002064384 has 300 divisors, whose sum is σ = 713437926894. Its totient is φ = 70585122816.

The previous prime is 225002064377. The next prime is 225002064403. The reversal of 225002064384 is 483460200522.

225002064384 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 0 + 2 + 0 + 643 + 8 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 207717177600 + 17284886784 = 455760^2 + 131472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11976022 + ... + 11994794.

Almost surely, 2^225002064384 is an apocalyptic number.

225002064384 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 225002064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356718963447).

225002064384 is an abundant number, since it is smaller than the sum of its proper divisors (488435862510).

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

225002064384 is an equidigital number, since it uses as much as digits as its factorization.

225002064384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18837 (or 18795 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 225002064384 in words is "two hundred twenty-five billion, two million, sixty-four thousand, three hundred eighty-four".