204968689552 has 60 divisors (see below), whose sum is σ = 437807994988. Its totient is φ = 92890828800.

The previous prime is 204968689463. The next prime is 204968689567. The reversal of 204968689552 is 255986869402.

It can be written as a sum of positive squares in 2 ways, for example, as 108580794256 + 96387895296 = 329516^2 + 310464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495352 + ... + 809512.

Almost surely, 2^204968689552 is an apocalyptic number.

204968689552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204968689552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218903997494).

204968689552 is an abundant number, since it is smaller than the sum of its proper divisors (232839305436).

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

204968689552 is a wasteful number, since it uses less digits than its factorization.

204968689552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314528 (or 314511 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 64.

The spelling of 204968689552 in words is "two hundred four billion, nine hundred sixty-eight million, six hundred eighty-nine thousand, five hundred fifty-two".