205945331343 has 32 divisors (see below), whose sum is σ = 289852992000. Its totient is φ = 129806662656.

The previous prime is 205945331329. The next prime is 205945331363. The reversal of 205945331343 is 343133549502.

It is a Cunningham number, because it is equal to 453812²-1.

It is not a de Polignac number, because 205945331343 - 2⁶ = 205945331279 is a prime.

It is a super-3 number, since 3×205945331343³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205945331295 and 205945331304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205945331323) 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, 31309671 + ... + 31316247.

It is an arithmetic number, because the mean of its divisors is an integer number (9057906000).

Almost surely, 2^205945331343 is an apocalyptic number.

205945331343 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

205945331343 is a deficient number, since it is larger than the sum of its proper divisors (83907660657).

205945331343 is a wasteful number, since it uses less digits than its factorization.

205945331343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11791.

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 205945331343 in words is "two hundred five billion, nine hundred forty-five million, three hundred thirty-one thousand, three hundred forty-three".