229066339798296 has 768 divisors, whose sum is σ = 859879463040000. Its totient is φ = 54866102353920.

The previous prime is 229066339798243. The next prime is 229066339798319. The reversal of 229066339798296 is 692897933660922.

229066339798296 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 6 + 63 + 397 + 9 + 82 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2847308280 + ... + 2847388728.

It is an arithmetic number, because the mean of its divisors is an integer number (1119634717500).

Almost surely, 2^{229066339798296} is an apocalyptic number.

229066339798296 is a gapful number since it is divisible by the number (26) 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 229066339798296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429939731520000).

229066339798296 is an abundant number, since it is smaller than the sum of its proper divisors (630813123241704).

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

229066339798296 is a wasteful number, since it uses less digits than its factorization.

229066339798296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81521 (or 81498 counting only the distinct ones).

The product of its (nonzero) digits is 5714053632, while the sum is 81.

The spelling of 229066339798296 in words is "two hundred twenty-nine trillion, sixty-six billion, three hundred thirty-nine million, seven hundred ninety-eight thousand, two hundred ninety-six".