229934841998400 has 2016 divisors, whose sum is σ = 1054817664848640. Its totient is φ = 47693596262400.

The previous prime is 229934841998357. The next prime is 229934841998417. The reversal of 229934841998400 is 4899148439922.

229934841998400 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 3 + 484 + 19 + 98 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 287 ways as a sum of consecutive naturals, for example, 21698101902 + ... + 21698112498.

It is an arithmetic number, because the mean of its divisors is an integer number (523223048040).

Almost surely, 2^{229934841998400} is an apocalyptic number.

229934841998400 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 229934841998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527408832424320).

229934841998400 is an abundant number, since it is smaller than the sum of its proper divisors (824882822850240).

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

229934841998400 is a wasteful number, since it uses less digits than its factorization.

229934841998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11250 (or 11218 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 229934841998400 in words is "two hundred twenty-nine trillion, nine hundred thirty-four billion, eight hundred forty-one million, nine hundred ninety-eight thousand, four hundred".