226625523554560 has 288 divisors, whose sum is σ = 587497505172480. Its totient is φ = 83262791614464.

The previous prime is 226625523554503. The next prime is 226625523554623. The reversal of 226625523554560 is 65455325526622.

It is a junction number, because it is equal to n+sod(n) for n = 226625523554495 and 226625523554504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2765809912 + ... + 2765891848.

It is an arithmetic number, because the mean of its divisors is an integer number (2039921892960).

Almost surely, 2^{226625523554560} is an apocalyptic number.

226625523554560 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 226625523554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293748752586240).

226625523554560 is an abundant number, since it is smaller than the sum of its proper divisors (360871981617920).

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

226625523554560 is a wasteful number, since it uses less digits than its factorization.

226625523554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82793 (or 82779 counting only the distinct ones).

The product of its (nonzero) digits is 129600000, while the sum is 58.

The spelling of 226625523554560 in words is "two hundred twenty-six trillion, six hundred twenty-five billion, five hundred twenty-three million, five hundred fifty-four thousand, five hundred sixty".