205237329424 has 20 divisors (see below), whose sum is σ = 404166136300. Its totient is φ = 100936391040.

The previous prime is 205237329419. The next prime is 205237329461. The reversal of 205237329424 is 424923732502.

205237329424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 97823821824 + 107413507600 = 312768^2 + 327740^2 .

It is a super-2 number, since 2×205237329424² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 105141099 + ... + 105143050.

It is an arithmetic number, because the mean of its divisors is an integer number (20208306815).

Almost surely, 2^205237329424 is an apocalyptic number.

It is an amenable number.

205237329424 is a deficient number, since it is larger than the sum of its proper divisors (198928806876).

205237329424 is a wasteful number, since it uses less digits than its factorization.

205237329424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210284218 (or 210284212 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 205237329424 in words is "two hundred five billion, two hundred thirty-seven million, three hundred twenty-nine thousand, four hundred twenty-four".