225411024384 has 480 divisors, whose sum is σ = 803948169024. Its totient is φ = 59206533120.

The previous prime is 225411024361. The next prime is 225411024401. The reversal of 225411024384 is 483420114522.

225411024384 is a `hidden beast` number, since 2 + 2 + 541 + 10 + 24 + 3 + 84 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117830212 + ... + 117832124.

Almost surely, 2^225411024384 is an apocalyptic number.

225411024384 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 225411024384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401974084512).

225411024384 is an abundant number, since it is smaller than the sum of its proper divisors (578537144640).

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

225411024384 is a wasteful number, since it uses less digits than its factorization.

225411024384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 225411024384 in words is "two hundred twenty-five billion, four hundred eleven million, twenty-four thousand, three hundred eighty-four".