205505144001 has 12 divisors (see below), whose sum is σ = 298082778240. Its totient is φ = 136430191800.

The previous prime is 205505143999. The next prime is 205505144029. The reversal of 205505144001 is 100441505502.

205505144001 is a `hidden beast` number, since 20 + 550 + 51 + 4 + 40 + 0 + 1 = 666.

It is not a de Polignac number, because 205505144001 - 2¹ = 205505143999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205505144041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47767525 + ... + 47771826.

It is an arithmetic number, because the mean of its divisors is an integer number (24840231520).

Almost surely, 2^205505144001 is an apocalyptic number.

It is an amenable number.

205505144001 is a deficient number, since it is larger than the sum of its proper divisors (92577634239).

205505144001 is a wasteful number, since it uses less digits than its factorization.

205505144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95539596 (or 95539593 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 205505144001 its reverse (100441505502), we get a palindrome (305946649503).

The spelling of 205505144001 in words is "two hundred five billion, five hundred five million, one hundred forty-four thousand, one".