205844597401 has 9 divisors (see below), whose sum is σ = 217257828501. Its totient is φ = 195002504604.

The previous prime is 205844597377. The next prime is 205844597419. The reversal of 205844597401 is 104795448502.

The square root of 205844597401 is 453701.

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

It is not a de Polignac number, because 205844597401 - 2¹⁵ = 205844564633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205844597201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8608380 + ... + 8632258.

Almost surely, 2^205844597401 is an apocalyptic number.

205844597401 is the 453701-st square number.

205844597401 is the 226851-st centered octagonal number.

It is an amenable number.

205844597401 is a deficient number, since it is larger than the sum of its proper divisors (11413231100).

205844597401 is an frugal number, since it uses more digits than its factorization.

205844597401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47796 (or 23898 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 205844597401 by its sum of digits (49), we get a square (10086385272649 = 3175907²).

The spelling of 205844597401 in words is "two hundred five billion, eight hundred forty-four million, five hundred ninety-seven thousand, four hundred one".