228882640896 has 1404 divisors, whose sum is σ = 906496593912. Its totient is φ = 57187565568.

The previous prime is 228882640843. The next prime is 228882640897. The reversal of 228882640896 is 698046288822.

228882640896 is a `hidden beast` number, since 2 + 288 + 8 + 264 + 0 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1404).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228882640897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12046454775 + ... + 12046454793.

Almost surely, 2^228882640896 is an apocalyptic number.

228882640896 is a gapful number since it is divisible by the number (26) 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 228882640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453248296956).

228882640896 is an abundant number, since it is smaller than the sum of its proper divisors (677613953016).

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

228882640896 is an equidigital number, since it uses as much as digits as its factorization.

228882640896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 228882640896 in words is "two hundred twenty-eight billion, eight hundred eighty-two million, six hundred forty thousand, eight hundred ninety-six".