229064379904800 has 864 divisors, whose sum is σ = 911950145830080. Its totient is φ = 55449022464000.

The previous prime is 229064379904757. The next prime is 229064379904831. The reversal of 229064379904800 is 8409973460922.

229064379904800 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 64 + 3 + 7 + 9 + 90 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1785024640 + ... + 1785152960.

It is an arithmetic number, because the mean of its divisors is an integer number (1055497853970).

Almost surely, 2^{229064379904800} is an apocalyptic number.

229064379904800 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 229064379904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455975072915040).

229064379904800 is an abundant number, since it is smaller than the sum of its proper divisors (682885765925280).

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

229064379904800 is a wasteful number, since it uses less digits than its factorization.

229064379904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129055 (or 129025 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 229064379904800 in words is "two hundred twenty-nine trillion, sixty-four billion, three hundred seventy-nine million, nine hundred four thousand, eight hundred".