225224471384640 has 4704 divisors, whose sum is σ = 1067975943027840. Its totient is φ = 44696597299200.

The previous prime is 225224471384639. The next prime is 225224471384687. The reversal of 225224471384640 is 46483174422522.

225224471384640 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 2 + 4 + 47 + 138 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4704).

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

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 680436469275 + ... + 680436469605.

Almost surely, 2^{225224471384640} is an apocalyptic number.

225224471384640 is a gapful number since it is divisible by the number (20) 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 225224471384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533987971513920).

225224471384640 is an abundant number, since it is smaller than the sum of its proper divisors (842751471643200).

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

225224471384640 is a wasteful number, since it uses less digits than its factorization.

225224471384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 225224471384640 in words is "two hundred twenty-five trillion, two hundred twenty-four billion, four hundred seventy-one million, three hundred eighty-four thousand, six hundred forty".