205743947136 has 384 divisors, whose sum is σ = 687812479200. Its totient is φ = 54010478592.

The previous prime is 205743947117. The next prime is 205743947141. The reversal of 205743947136 is 631749347502.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56013396 + ... + 56017068.

Almost surely, 2^205743947136 is an apocalyptic number.

205743947136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205743947136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343906239600).

205743947136 is an abundant number, since it is smaller than the sum of its proper divisors (482068532064).

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

205743947136 is a wasteful number, since it uses less digits than its factorization.

205743947136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 205743947136 in words is "two hundred five billion, seven hundred forty-three million, nine hundred forty-seven thousand, one hundred thirty-six".