228415025288448 has 1008 divisors, whose sum is σ = 748457852308992. Its totient is φ = 69227053056000.

The previous prime is 228415025288407. The next prime is 228415025288459. The reversal of 228415025288448 is 844882520514822.

228415025288448 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 1 + 502 + 5 + 2 + 8 + 84 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 67960434288 + ... + 67960437648.

It is an arithmetic number, because the mean of its divisors is an integer number (742517710624).

Almost surely, 2^{228415025288448} 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 228415025288448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374228926154496).

228415025288448 is an abundant number, since it is smaller than the sum of its proper divisors (520042827020544).

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

228415025288448 is an equidigital number, since it uses as much as digits as its factorization.

228415025288448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 104857600, while the sum is 63.

The spelling of 228415025288448 in words is "two hundred twenty-eight trillion, four hundred fifteen billion, twenty-five million, two hundred eighty-eight thousand, four hundred forty-eight".