205370997454441 has 243 divisors, whose sum is σ = 278854454426373. Its totient is φ = 150727609992960.

The previous prime is 205370997454439. The next prime is 205370997454451. The reversal of 205370997454441 is 144454799073502.

The square root of 205370997454441 is 14330771.

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

It can be written as a sum of positive squares in 4 ways, for example, as 136792790264025 + 68578207190416 = 11695845^2 + 8281196^2 .

It is not a de Polignac number, because 205370997454441 - 2¹ = 205370997454439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205370997454451) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1229766451740 + ... + 1229766451906.

Almost surely, 2^{205370997454441} is an apocalyptic number.

205370997454441 is the 14330771-st square number.

205370997454441 is the 7165386-th centered octagonal number.

It is an amenable number.

205370997454441 is a deficient number, since it is larger than the sum of its proper divisors (73483456971932).

205370997454441 is an equidigital number, since it uses as much as digits as its factorization.

205370997454441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 64.

The spelling of 205370997454441 in words is "two hundred five trillion, three hundred seventy billion, nine hundred ninety-seven million, four hundred fifty-four thousand, four hundred forty-one".