225429684480 has 1728 divisors, whose sum is σ = 1062597699072. Its totient is φ = 42608885760.

The previous prime is 225429684461. The next prime is 225429684497. The reversal of 225429684480 is 84486924522.

225429684480 is a `hidden beast` number, since 2 + 2 + 542 + 96 + 8 + 4 + 4 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1303061674 + ... + 1303061846.

It is an arithmetic number, because the mean of its divisors is an integer number (614929224).

Almost surely, 2^225429684480 is an apocalyptic number.

225429684480 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 225429684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531298849536).

225429684480 is an abundant number, since it is smaller than the sum of its proper divisors (837168014592).

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

225429684480 is a wasteful number, since it uses less digits than its factorization.

225429684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

It can be divided in two parts, 225429 and 684480, that added together give a palindrome (909909).

The spelling of 225429684480 in words is "two hundred twenty-five billion, four hundred twenty-nine million, six hundred eighty-four thousand, four hundred eighty".