229365579936 has 192 divisors, whose sum is σ = 626293382400. Its totient is φ = 73438617600.

The previous prime is 229365579857. The next prime is 229365579953. The reversal of 229365579936 is 639975563922.

It is a happy number.

It is a super-3 number, since 3×229365579936³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163948965 + ... + 163950363.

It is an arithmetic number, because the mean of its divisors is an integer number (3261944700).

Almost surely, 2^229365579936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229365579936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313146691200).

229365579936 is an abundant number, since it is smaller than the sum of its proper divisors (396927802464).

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

229365579936 is a wasteful number, since it uses less digits than its factorization.

229365579936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1999 counting only the distinct ones).

The product of its digits is 165337200, while the sum is 66.

The spelling of 229365579936 in words is "two hundred twenty-nine billion, three hundred sixty-five million, five hundred seventy-nine thousand, nine hundred thirty-six".