229434949336320 has 5760 divisors, whose sum is σ = 1119268917043200. Its totient is φ = 43674960789504.

The previous prime is 229434949336319. The next prime is 229434949336381. The reversal of 229434949336320 is 23633949434922.

229434949336320 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 3 + 494 + 93 + 36 + 3 + 20 = 666.

229434949336320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-4 number, since 4×229434949336320⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1001899341966 + ... + 1001899342194.

It is an arithmetic number, because the mean of its divisors is an integer number (194317520320).

Almost surely, 2^{229434949336320} is an apocalyptic number.

229434949336320 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 229434949336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559634458521600).

229434949336320 is an abundant number, since it is smaller than the sum of its proper divisors (889833967706880).

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

229434949336320 is an equidigital number, since it uses as much as digits as its factorization.

229434949336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 63.

The spelling of 229434949336320 in words is "two hundred twenty-nine trillion, four hundred thirty-four billion, nine hundred forty-nine million, three hundred thirty-six thousand, three hundred twenty".