229008384000 has 1120 divisors, whose sum is σ = 935158416192. Its totient is φ = 55296000000.

The previous prime is 229008383999. The next prime is 229008384001. The reversal of 229008384000 is 483800922.

It is an interprime number because it is at equal distance from previous prime (229008383999) and next prime (229008384001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (229008384001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 912383875 + ... + 912384125.

Almost surely, 2^229008384000 is an apocalyptic number.

229008384000 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 229008384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467579208096).

229008384000 is an abundant number, since it is smaller than the sum of its proper divisors (706150032192).

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

229008384000 is an equidigital number, since it uses as much as digits as its factorization.

229008384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 229008384000 in words is "two hundred twenty-nine billion, eight million, three hundred eighty-four thousand".