225305531424 has 384 divisors, whose sum is σ = 706418496000. Its totient is φ = 69724569600.

The previous prime is 225305531413. The next prime is 225305531441. The reversal of 225305531424 is 424135503522.

225305531424 is a `hidden beast` number, since 2 + 2 + 530 + 55 + 31 + 42 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72936472 + ... + 72939560.

It is an arithmetic number, because the mean of its divisors is an integer number (1839631500).

Almost surely, 2^225305531424 is an apocalyptic number.

225305531424 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 225305531424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353209248000).

225305531424 is an abundant number, since it is smaller than the sum of its proper divisors (481112964576).

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

225305531424 is a wasteful number, since it uses less digits than its factorization.

225305531424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 225305531424 in words is "two hundred twenty-five billion, three hundred five million, five hundred thirty-one thousand, four hundred twenty-four".