229820924448 has 72 divisors (see below), whose sum is σ = 674635643136. Its totient is φ = 74135779200.

The previous prime is 229820924447. The next prime is 229820924471. The reversal of 229820924448 is 844429028922.

229820924448 is a `hidden beast` number, since 2 + 2 + 98 + 20 + 92 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×229820924448³ (a number of 35 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 229820924394 and 229820924403.

It is not an unprimeable number, because it can be changed into a prime (229820924447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12861868 + ... + 12879723.

It is an arithmetic number, because the mean of its divisors is an integer number (9369939488).

Almost surely, 2^229820924448 is an apocalyptic number.

It is an amenable number.

229820924448 is an abundant number, since it is smaller than the sum of its proper divisors (444814718688).

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

229820924448 is a wasteful number, since it uses less digits than its factorization.

229820924448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25741638 (or 25741627 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 229820924448 in words is "two hundred twenty-nine billion, eight hundred twenty million, nine hundred twenty-four thousand, four hundred forty-eight".