225468761656320 has 4224 divisors, whose sum is σ = 1056183079311360. Its totient is φ = 44786893455360.

The previous prime is 225468761656309. The next prime is 225468761656337. The reversal of 225468761656320 is 23656167864522.

225468761656320 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 6 + 8 + 7 + 61 + 6 + 563 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 604473891654 + ... + 604473892026.

It is an arithmetic number, because the mean of its divisors is an integer number (250043342640).

Almost surely, 2^{225468761656320} is an apocalyptic number.

225468761656320 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 225468761656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528091539655680).

225468761656320 is an abundant number, since it is smaller than the sum of its proper divisors (830714317655040).

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

225468761656320 is a wasteful number, since it uses less digits than its factorization.

225468761656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 225468761656320 in words is "two hundred twenty-five trillion, four hundred sixty-eight billion, seven hundred sixty-one million, six hundred fifty-six thousand, three hundred twenty".