229984358400000 has 1536 divisors, whose sum is σ = 858125901427200. Its totient is φ = 60869836800000.

The previous prime is 229984358399963. The next prime is 229984358400073. The reversal of 229984358400000 is 4853489922.

229984358400000 is a `hidden beast` number, since 22 + 99 + 84 + 3 + 58 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 229984358400000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 533606399785 + ... + 533606400215.

It is an arithmetic number, because the mean of its divisors is an integer number (558675717075).

Almost surely, 2^{229984358400000} is an apocalyptic number.

229984358400000 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 229984358400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429062950713600).

229984358400000 is an abundant number, since it is smaller than the sum of its proper divisors (628141543027200).

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

229984358400000 is an frugal number, since it uses more digits than its factorization.

229984358400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 229984358400000 in words is "two hundred twenty-nine trillion, nine hundred eighty-four billion, three hundred fifty-eight million, four hundred thousand".