229907368675200 has 384 divisors, whose sum is σ = 758573898163200. Its totient is φ = 61202108620800.

The previous prime is 229907368675183. The next prime is 229907368675211. The reversal of 229907368675200 is 2576863709922.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37486931334 + ... + 37486937466.

It is an arithmetic number, because the mean of its divisors is an integer number (1975452859800).

Almost surely, 2^{229907368675200} is an apocalyptic number.

229907368675200 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 229907368675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379286949081600).

229907368675200 is an abundant number, since it is smaller than the sum of its proper divisors (528666529488000).

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

229907368675200 is a wasteful number, since it uses less digits than its factorization.

229907368675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12310 (or 12293 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 229907368675200 in words is "two hundred twenty-nine trillion, nine hundred seven billion, three hundred sixty-eight million, six hundred seventy-five thousand, two hundred".