204992295168 has 144 divisors (see below), whose sum is σ = 578224543680. Its totient is φ = 64249724928.

The previous prime is 204992295163. The next prime is 204992295217. The reversal of 204992295168 is 861592299402.

It is a happy number.

204992295168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204992295168² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204992295163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14733271 + ... + 14747177.

It is an arithmetic number, because the mean of its divisors is an integer number (4015448220).

Almost surely, 2^204992295168 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 204992295168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289112271840).

204992295168 is an abundant number, since it is smaller than the sum of its proper divisors (373232248512).

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

204992295168 is a wasteful number, since it uses less digits than its factorization.

204992295168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15072 (or 15058 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 204992295168 in words is "two hundred four billion, nine hundred ninety-two million, two hundred ninety-five thousand, one hundred sixty-eight".