229605824448 has 1680 divisors, whose sum is σ = 957150370176. Its totient is φ = 53770106880.

The previous prime is 229605824447. The next prime is 229605824471. The reversal of 229605824448 is 844428506922.

229605824448 is a `hidden beast` number, since 2 + 2 + 9 + 605 + 8 + 24 + 4 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 229605824394 and 229605824403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229605824443) 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, 5339670315 + ... + 5339670357.

Almost surely, 2^229605824448 is an apocalyptic number.

229605824448 is a gapful number since it is divisible by the number (28) 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 229605824448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478575185088).

229605824448 is an abundant number, since it is smaller than the sum of its proper divisors (727544545728).

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

229605824448 is an equidigital number, since it uses as much as digits as its factorization.

229605824448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 229605824448 in words is "two hundred twenty-nine billion, six hundred five million, eight hundred twenty-four thousand, four hundred forty-eight".