225752986402470 has 256 divisors, whose sum is σ = 629266268160000. Its totient is φ = 57484085662080.

The previous prime is 225752986402459. The next prime is 225752986402477. The reversal of 225752986402470 is 74204689257522.

225752986402470 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 529 + 8 + 64 + 0 + 2 + 47 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225752986402398 and 225752986402407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225752986402477) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9150528235 + ... + 9150552905.

It is an arithmetic number, because the mean of its divisors is an integer number (2458071360000).

Almost surely, 2^{225752986402470} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225752986402470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314633134080000).

225752986402470 is an abundant number, since it is smaller than the sum of its proper divisors (403513281757530).

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

225752986402470 is a wasteful number, since it uses less digits than its factorization.

225752986402470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27192 (or 27186 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 225752986402470 in words is "two hundred twenty-five trillion, seven hundred fifty-two billion, nine hundred eighty-six million, four hundred two thousand, four hundred seventy".