204806933136 has 225 divisors, whose sum is σ = 642540414681. Its totient is φ = 62952349824.

The previous prime is 204806933083. The next prime is 204806933143. The reversal of 204806933136 is 631339608402.

The square root of 204806933136 is 452556.

It is a perfect power (a square), and thus also a powerful number.

204806933136 is a `hidden beast` number, since 2 + 0 + 480 + 6 + 9 + 33 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30296883600 + 174510049536 = 174060^2 + 417744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 204806933091 and 204806933100.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 211795725 + ... + 211796691.

Almost surely, 2^204806933136 is an apocalyptic number.

204806933136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

204806933136 is the 452556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204806933136

204806933136 is an abundant number, since it is smaller than the sum of its proper divisors (437733481545).

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

204806933136 is an frugal number, since it uses more digits than its factorization.

204806933136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 204806933136 in words is "two hundred four billion, eight hundred six million, nine hundred thirty-three thousand, one hundred thirty-six".