229782127682352 has 640 divisors, whose sum is σ = 720927786557440. Its totient is φ = 61606971187200.

The previous prime is 229782127682311. The next prime is 229782127682431. The reversal of 229782127682352 is 253286721287922.

It is a super-2 number, since 2×229782127682352² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 382332990852 + ... + 382332991452.

It is an arithmetic number, because the mean of its divisors is an integer number (1126449666496).

Almost surely, 2^{229782127682352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229782127682352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360463893278720).

229782127682352 is an abundant number, since it is smaller than the sum of its proper divisors (491145658875088).

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

229782127682352 is a wasteful number, since it uses less digits than its factorization.

229782127682352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1835 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 66.

The spelling of 229782127682352 in words is "two hundred twenty-nine trillion, seven hundred eighty-two billion, one hundred twenty-seven million, six hundred eighty-two thousand, three hundred fifty-two".