229368617564160 has 384 divisors, whose sum is σ = 757569664051200. Its totient is φ = 59184220078080.

The previous prime is 229368617564147. The next prime is 229368617564209. The reversal of 229368617564160 is 61465716863922.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 229368617564091 and 229368617564100.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 13131531747 + ... + 13131549213.

It is an arithmetic number, because the mean of its divisors is an integer number (1972837666800).

It is a 1-persistent number, because it is pandigital, but 2⋅229368617564160 = 458737235128320 is not.

Almost surely, 2^{229368617564160} is an apocalyptic number.

229368617564160 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 229368617564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378784832025600).

229368617564160 is an abundant number, since it is smaller than the sum of its proper divisors (528201046487040).

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

229368617564160 is a wasteful number, since it uses less digits than its factorization.

229368617564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31317 (or 31297 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 229368617564160 in words is "two hundred twenty-nine trillion, three hundred sixty-eight billion, six hundred seventeen million, five hundred sixty-four thousand, one hundred sixty".