225469214530560 has 7392 divisors, whose sum is σ = 1143070051660992. Its totient is φ = 41897416458240.

The previous prime is 225469214530541. The next prime is 225469214530561. The reversal of 225469214530560 is 65035412964522.

225469214530560 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 6 + 9 + 2 + 1 + 45 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (7392).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 225469214530497 and 225469214530506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225469214530561) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 967679032204 + ... + 967679032436.

Almost surely, 2^{225469214530560} is an apocalyptic number.

225469214530560 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 225469214530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571535025830496).

225469214530560 is an abundant number, since it is smaller than the sum of its proper divisors (917600837130432).

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

225469214530560 is a wasteful number, since it uses less digits than its factorization.

225469214530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 225469214530560 in words is "two hundred twenty-five trillion, four hundred sixty-nine billion, two hundred fourteen million, five hundred thirty thousand, five hundred sixty".