204971192352 has 144 divisors (see below), whose sum is σ = 585663755040. Its totient is φ = 67999067136.

The previous prime is 204971192347. The next prime is 204971192359. The reversal of 204971192352 is 253291179402.

204971192352 is a `hidden beast` number, since 2 + 0 + 49 + 71 + 192 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 204971192298 and 204971192307.

It is not an unprimeable number, because it can be changed into a prime (204971192359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59704428 + ... + 59707860.

It is an arithmetic number, because the mean of its divisors is an integer number (4067109410).

Almost surely, 2^204971192352 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 204971192352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292831877520).

204971192352 is an abundant number, since it is smaller than the sum of its proper divisors (380692562688).

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

204971192352 is a wasteful number, since it uses less digits than its factorization.

204971192352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 204971192352 in words is "two hundred four billion, nine hundred seventy-one million, one hundred ninety-two thousand, three hundred fifty-two".