228014281881216 has 224 divisors, whose sum is σ = 681443007329700. Its totient is φ = 75961933996032.

The previous prime is 228014281881173. The next prime is 228014281881223. The reversal of 228014281881216 is 612188182410822.

228014281881216 is a `hidden beast` number, since 2 + 2 + 80 + 1 + 428 + 18 + 8 + 121 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224938804161600 + 3075477719616 = 14997960^2 + 1753704^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 165127870 + ... + 166502978.

Almost surely, 2^{228014281881216} 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 228014281881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340721503664850).

228014281881216 is an abundant number, since it is smaller than the sum of its proper divisors (453428725448484).

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

228014281881216 is an equidigital number, since it uses as much as digits as its factorization.

228014281881216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376918 (or 1376891 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 228014281881216 in words is "two hundred twenty-eight trillion, fourteen billion, two hundred eighty-one million, eight hundred eighty-one thousand, two hundred sixteen".