229049117105760 has 1152 divisors, whose sum is σ = 955519358976000. Its totient is φ = 48835341434880.

The previous prime is 229049117105737. The next prime is 229049117105761. The reversal of 229049117105760 is 67501711940922.

229049117105760 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 49 + 1 + 17 + 10 + 576 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 229049117105697 and 229049117105706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229049117105761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5428068982 + ... + 5428111178.

It is an arithmetic number, because the mean of its divisors is an integer number (829443888000).

Almost surely, 2^{229049117105760} is an apocalyptic number.

229049117105760 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 229049117105760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477759679488000).

229049117105760 is an abundant number, since it is smaller than the sum of its proper divisors (726470241870240).

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

229049117105760 is a wasteful number, since it uses less digits than its factorization.

229049117105760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42884 (or 42873 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 229049117105760 in words is "two hundred twenty-nine trillion, forty-nine billion, one hundred seventeen million, one hundred five thousand, seven hundred sixty".