229387128864768 has 1836 divisors, whose sum is σ = 823017709725120. Its totient is φ = 63648757186560.

The previous prime is 229387128864767. The next prime is 229387128864781. The reversal of 229387128864768 is 867468821783922.

229387128864768 is a `hidden beast` number, since 2 + 29 + 38 + 7 + 12 + 8 + 86 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229387128864767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2903634542553 + ... + 2903634542631.

Almost surely, 2^{229387128864768} is an apocalyptic number.

229387128864768 is a gapful number since it is divisible by the number (28) 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 229387128864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411508854862560).

229387128864768 is an abundant number, since it is smaller than the sum of its proper divisors (593630580860352).

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

229387128864768 is an frugal number, since it uses more digits than its factorization.

229387128864768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 152 counting only the distinct ones).

The product of its digits is 6242697216, while the sum is 81.

The spelling of 229387128864768 in words is "two hundred twenty-nine trillion, three hundred eighty-seven billion, one hundred twenty-eight million, eight hundred sixty-four thousand, seven hundred sixty-eight".