229872988296 has 576 divisors, whose sum is σ = 802746547200. Its totient is φ = 58074863616.

The previous prime is 229872988271. The next prime is 229872988349. The reversal of 229872988296 is 692889278922.

It is a happy number.

229872988296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 197654611 + ... + 197655773.

It is an arithmetic number, because the mean of its divisors is an integer number (1393657200).

Almost surely, 2^229872988296 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 229872988296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401373273600).

229872988296 is an abundant number, since it is smaller than the sum of its proper divisors (572873558904).

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

229872988296 is a wasteful number, since it uses less digits than its factorization.

229872988296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1274 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

It can be divided in two parts, 2298729 and 88296, that added together give a square (2387025 = 1545²).

The spelling of 229872988296 in words is "two hundred twenty-nine billion, eight hundred seventy-two million, nine hundred eighty-eight thousand, two hundred ninety-six".