229930992921600 has 2640 divisors, whose sum is σ = 954020416821120. Its totient is φ = 54378351820800.

The previous prime is 229930992921577. The next prime is 229930992921601. The reversal of 229930992921600 is 6129299039922.

229930992921600 is a `hidden beast` number, since 2 + 2 + 99 + 309 + 9 + 29 + 216 + 0 + 0 = 666.

229930992921600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (229930992921601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 141322059987 + ... + 141322061613.

It is an arithmetic number, because the mean of its divisors is an integer number (361371370008).

Almost surely, 2^{229930992921600} is an apocalyptic number.

229930992921600 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 229930992921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477010208410560).

229930992921600 is an abundant number, since it is smaller than the sum of its proper divisors (724089423899520).

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

229930992921600 is a wasteful number, since it uses less digits than its factorization.

229930992921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 229930992921600 in words is "two hundred twenty-nine trillion, nine hundred thirty billion, nine hundred ninety-two million, nine hundred twenty-one thousand, six hundred".