205462093934601 has 189 divisors, whose sum is σ = 361477780992741. Its totient is φ = 116389831134528.

The previous prime is 205462093934599. The next prime is 205462093934663. The reversal of 205462093934601 is 106439390264502.

The square root of 205462093934601 is 14333949.

It is a perfect power (a square), and thus also a powerful number.

205462093934601 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 6 + 2 + 0 + 93 + 93 + 460 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1951326816201 + 203510767118400 = 1396899^2 + 14265720^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 205462093934601 - 2¹ = 205462093934599 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (205462093934701) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 403658337535 + ... + 403658338043.

Almost surely, 2^{205462093934601} is an apocalyptic number.

205462093934601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

205462093934601 is the 14333949-th square number.

205462093934601 is the 7166975-th centered octagonal number.

It is an amenable number.

205462093934601 is a deficient number, since it is larger than the sum of its proper divisors (156015687058140).

205462093934601 is an frugal number, since it uses more digits than its factorization.

205462093934601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 205462093934601 in words is "two hundred five trillion, four hundred sixty-two billion, ninety-three million, nine hundred thirty-four thousand, six hundred one".