229042464000 has 1728 divisors, whose sum is σ = 968377213440. Its totient is φ = 47687270400.

The previous prime is 229042463983. The next prime is 229042464017. The reversal of 229042464000 is 464240922.

229042464000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (229042463983) and next prime (229042464017).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3137567964 + ... + 3137568036.

It is an arithmetic number, because the mean of its divisors is an integer number (560403480).

Almost surely, 2^229042464000 is an apocalyptic number.

229042464000 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 229042464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484188606720).

229042464000 is an abundant number, since it is smaller than the sum of its proper divisors (739334749440).

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

229042464000 is a wasteful number, since it uses less digits than its factorization.

229042464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 229042464000 in words is "two hundred twenty-nine billion, forty-two million, four hundred sixty-four thousand".