205940793249 has 15 divisors (see below), whose sum is σ = 307646051713. Its totient is φ = 137291139324.

The previous prime is 205940793229. The next prime is 205940793269. The reversal of 205940793249 is 942397049502.

The square root of 205940793249 is 453807.

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

205940793249 is a `hidden beast` number, since 2 + 0 + 594 + 0 + 7 + 9 + 3 + 2 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (205940793229) and next prime (205940793269).

It is not a de Polignac number, because 205940793249 - 2¹¹ = 205940791201 is a prime.

It is a super-2 number, since 2×205940793249² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205940793195 and 205940793204.

It is not an unprimeable number, because it can be changed into a prime (205940793209) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4059052 + ... + 4109474.

Almost surely, 2^205940793249 is an apocalyptic number.

205940793249 is the 453807-th square number.

205940793249 is the 226904-th centered octagonal number.

It is an amenable number.

205940793249 is a deficient number, since it is larger than the sum of its proper divisors (101705258464).

205940793249 is an frugal number, since it uses more digits than its factorization.

205940793249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100858 (or 50426 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 205940793249 in words is "two hundred five billion, nine hundred forty million, seven hundred ninety-three thousand, two hundred forty-nine".