229088825856 has 640 divisors, whose sum is σ = 800120217600. Its totient is φ = 63959777280.

The previous prime is 229088825843. The next prime is 229088825857. The reversal of 229088825856 is 658528880922.

It is a super-3 number, since 3×229088825856³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 229088825793 and 229088825802.

It is not an unprimeable number, because it can be changed into a prime (229088825857) 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 63 ways as a sum of consecutive naturals, for example, 106899921 + ... + 106902063.

It is an arithmetic number, because the mean of its divisors is an integer number (1250187840).

Almost surely, 2^229088825856 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 229088825856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400060108800).

229088825856 is an abundant number, since it is smaller than the sum of its proper divisors (571031391744).

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

229088825856 is a wasteful number, since it uses less digits than its factorization.

229088825856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 229088825856 in words is "two hundred twenty-nine billion, eighty-eight million, eight hundred twenty-five thousand, eight hundred fifty-six".