205461235072949 has 8 divisors (see below), whose sum is σ = 208899788854680. Its totient is φ = 202024950220800.

The previous prime is 205461235072937. The next prime is 205461235072967. The reversal of 205461235072949 is 949270532164502.

It can be written as a sum of positive squares in 4 ways, for example, as 4515017270449 + 200946217802500 = 2124857^2 + 14175550^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205461235072949 - 2⁴⁴ = 187869049028533 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205461235072649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567049772 + ... + 567411989.

It is an arithmetic number, because the mean of its divisors is an integer number (26112473606835).

Almost surely, 2^{205461235072949} is an apocalyptic number.

It is an amenable number.

205461235072949 is a deficient number, since it is larger than the sum of its proper divisors (3438553781731).

205461235072949 is a wasteful number, since it uses less digits than its factorization.

205461235072949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134464791.

The product of its (nonzero) digits is 32659200, while the sum is 59.

The spelling of 205461235072949 in words is "two hundred five trillion, four hundred sixty-one billion, two hundred thirty-five million, seventy-two thousand, nine hundred forty-nine".