225006453404532 has 192 divisors, whose sum is σ = 618930054758400. Its totient is φ = 70490366432640.

The previous prime is 225006453404531. The next prime is 225006453404549. The reversal of 225006453404532 is 235404354600522.

225006453404532 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 0 + 64 + 53 + 4 + 0 + 4 + 532 = 666.

225006453404532 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225006453404531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7000589182 + ... + 7000621322.

It is an arithmetic number, because the mean of its divisors is an integer number (3223594035200).

Almost surely, 2^{225006453404532} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225006453404532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309465027379200).

225006453404532 is an abundant number, since it is smaller than the sum of its proper divisors (393923601353868).

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

225006453404532 is a wasteful number, since it uses less digits than its factorization.

225006453404532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59163 (or 59155 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 225006453404532 in words is "two hundred twenty-five trillion, six billion, four hundred fifty-three million, four hundred four thousand, five hundred thirty-two".