204231686400 has 729 divisors, whose sum is σ = 852555824211. Its totient is φ = 46507991040.

The previous prime is 204231686369. The next prime is 204231686401. The reversal of 204231686400 is 4686132402.

The square root of 204231686400 is 451920.

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

204231686400 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 3 + 1 + 6 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78337292544 + 125894393856 = 279888^2 + 354816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (204231686401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 759225466 + ... + 759225734.

Almost surely, 2^204231686400 is an apocalyptic number.

204231686400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

204231686400 is the 451920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204231686400

204231686400 is an abundant number, since it is smaller than the sum of its proper divisors (648324137811).

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

204231686400 is an equidigital number, since it uses as much as digits as its factorization.

204231686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 204231686400 by its sum of digits (36), we get a square (7352340710400 = 2711520²).

204231686400 divided by its sum of digits (36) gives a square (5673102400 = 75320²).

The spelling of 204231686400 in words is "two hundred four billion, two hundred thirty-one million, six hundred eighty-six thousand, four hundred".