205414113072 has 160 divisors (see below), whose sum is σ = 626419462144. Its totient is φ = 56760652800.

The previous prime is 205414113053. The next prime is 205414113077. The reversal of 205414113072 is 270311414502.

It is not an unprimeable number, because it can be changed into a prime (205414113077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19378878 + ... + 19389474.

Almost surely, 2^205414113072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205414113072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313209731072).

205414113072 is an abundant number, since it is smaller than the sum of its proper divisors (421005349072).

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

205414113072 is a wasteful number, since it uses less digits than its factorization.

205414113072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12507 (or 12501 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 205414113072 its reverse (270311414502), we get a palindrome (475725527574).

The spelling of 205414113072 in words is "two hundred five billion, four hundred fourteen million, one hundred thirteen thousand, seventy-two".