225808478784 has 224 divisors, whose sum is σ = 766038640640. Its totient is φ = 63889979904.

The previous prime is 225808478737. The next prime is 225808478789. The reversal of 225808478784 is 487874808522.

225808478784 is a `hidden beast` number, since 2 + 2 + 5 + 80 + 8 + 478 + 7 + 84 = 666.

225808478784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (225808478789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1155267 + ... + 1336509.

It is an arithmetic number, because the mean of its divisors is an integer number (3419815360).

Almost surely, 2^225808478784 is an apocalyptic number.

225808478784 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 225808478784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383019320320).

225808478784 is an abundant number, since it is smaller than the sum of its proper divisors (540230161856).

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

225808478784 is a wasteful number, since it uses less digits than its factorization.

225808478784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181374 (or 181358 counting only the distinct ones).

The product of its (nonzero) digits is 64225280, while the sum is 63.

The spelling of 225808478784 in words is "two hundred twenty-five billion, eight hundred eight million, four hundred seventy-eight thousand, seven hundred eighty-four".