205313921092032 has 112 divisors (see below), whose sum is σ = 550244080713600. Its totient is φ = 67555276622848.

The previous prime is 205313921091971. The next prime is 205313921092081. The reversal of 205313921092032 is 230290129313502.

It is a super-3 number, since 3×205313921092032³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12994594 + ... + 24072542.

It is an arithmetic number, because the mean of its divisors is an integer number (4912893577800).

Almost surely, 2^{205313921092032} 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 205313921092032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275122040356800).

205313921092032 is an abundant number, since it is smaller than the sum of its proper divisors (344930159621568).

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

205313921092032 is a wasteful number, since it uses less digits than its factorization.

205313921092032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11079210 (or 11079200 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 205313921092032 in words is "two hundred five trillion, three hundred thirteen billion, nine hundred twenty-one million, ninety-two thousand, thirty-two".