229439766568320 has 8064 divisors, whose sum is σ = 1147125386232000. Its totient is φ = 43776914227200.

The previous prime is 229439766568301. The next prime is 229439766568339. The reversal of 229439766568320 is 23865667934922.

229439766568320 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 39 + 7 + 6 + 6 + 568 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (229439766568301) and next prime (229439766568339).

It is a tau number, because it is divible by the number of its divisors (8064).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 5596091867500 + ... + 5596091867540.

Almost surely, 2^{229439766568320} is an apocalyptic number.

229439766568320 is a gapful number since it is divisible by the number (20) 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 229439766568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573562693116000).

229439766568320 is an abundant number, since it is smaller than the sum of its proper divisors (917685619663680).

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

229439766568320 is an equidigital number, since it uses as much as digits as its factorization.

229439766568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 229439766568320 in words is "two hundred twenty-nine trillion, four hundred thirty-nine billion, seven hundred sixty-six million, five hundred sixty-eight thousand, three hundred twenty".