204029427828769 has 9 divisors (see below), whose sum is σ = 209693315238771. Its totient is φ = 198514604748600.

The previous prime is 204029427828701. The next prime is 204029427828823. The reversal of 204029427828769 is 967828724920402.

The square root of 204029427828769 is 14283887.

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

It can be written as a sum of positive squares in only one way, i.e., 182568333886225 + 21461093942544 = 13511785^2 + 4632612^2 .

It is not a de Polignac number, because 204029427828769 - 2¹⁵ = 204029427796001 is a prime.

It is a super-2 number, since 2×204029427828769² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 204029427828698 and 204029427828707.

It is not an unprimeable number, because it can be changed into a prime (204029427858769) 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 8 ways as a sum of consecutive naturals, for example, 528310794 + ... + 528696844.

Almost surely, 2^{204029427828769} is an apocalyptic number.

204029427828769 is the 14283887-th square number.

204029427828769 is the 7141944-th centered octagonal number.

It is an amenable number.

204029427828769 is a deficient number, since it is larger than the sum of its proper divisors (5663887410002).

204029427828769 is an frugal number, since it uses more digits than its factorization.

204029427828769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772176 (or 386088 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 70.

The spelling of 204029427828769 in words is "two hundred four trillion, twenty-nine billion, four hundred twenty-seven million, eight hundred twenty-eight thousand, seven hundred sixty-nine".