205430546646048 has 96 divisors (see below), whose sum is σ = 557934776784000. Its totient is φ = 66105553289216.

The previous prime is 205430546646043. The next prime is 205430546646107. The reversal of 205430546646048 is 840646645034502.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (205430546646043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12780640 + ... + 23962592.

It is an arithmetic number, because the mean of its divisors is an integer number (5811820591500).

Almost surely, 2^{205430546646048} 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 205430546646048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278967388392000).

205430546646048 is an abundant number, since it is smaller than the sum of its proper divisors (352504230137952).

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

205430546646048 is a wasteful number, since it uses less digits than its factorization.

205430546646048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11188594 (or 11188586 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 57.

The spelling of 205430546646048 in words is "two hundred five trillion, four hundred thirty billion, five hundred forty-six million, six hundred forty-six thousand, forty-eight".