241622246905209 has 135 divisors (see below), whose sum is σ = 371172105443217. Its totient is φ = 151462714032000.

The previous prime is 241622246905157. The next prime is 241622246905213. The reversal of 241622246905209 is 902509642226142.

The square root of 241622246905209 is 15544203.

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

241622246905209 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 2 + 2 + 24 + 6 + 90 + 520 + 9 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 241393801143609 + 228445761600 = 15536853^2 + 477960^2 .

It is not a de Polignac number, because 241622246905209 - 2³³ = 241613656970617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (241622246905229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2392299474259 + ... + 2392299474359.

Almost surely, 2^{241622246905209} is an apocalyptic number.

241622246905209 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

241622246905209 is the 15544203-rd square number.

241622246905209 is the 7772102-nd centered octagonal number.

It is an amenable number.

241622246905209 is a deficient number, since it is larger than the sum of its proper divisors (129549858538008).

241622246905209 is an frugal number, since it uses more digits than its factorization.

241622246905209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 241622246905209 in words is "two hundred forty-one trillion, six hundred twenty-two billion, two hundred forty-six million, nine hundred five thousand, two hundred nine".