228813566177280 has 2496 divisors, whose sum is σ = 915269287016448. Its totient is φ = 47783105003520.

The previous prime is 228813566177257. The next prime is 228813566177321. The reversal of 228813566177280 is 82771665318822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 780933672814 + ... + 780933673106.

It is an arithmetic number, because the mean of its divisors is an integer number (366694425888).

Almost surely, 2^{228813566177280} is an apocalyptic number.

228813566177280 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 228813566177280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457634643508224).

228813566177280 is an abundant number, since it is smaller than the sum of its proper divisors (686455720839168).

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

228813566177280 is a wasteful number, since it uses less digits than its factorization.

228813566177280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 66.

The spelling of 228813566177280 in words is "two hundred twenty-eight trillion, eight hundred thirteen billion, five hundred sixty-six million, one hundred seventy-seven thousand, two hundred eighty".