240645753843121 has 27 divisors (see below), whose sum is σ = 265925468495883. Its totient is φ = 217605565182720.

The previous prime is 240645753843097. The next prime is 240645753843133. The reversal of 240645753843121 is 121348357546042.

The square root of 240645753843121 is 15512761.

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

It can be written as a sum of positive squares in only one way, i.e., 58305670714225 + 182340083128896 = 7635815^2 + 13503336^2 .

It is not a de Polignac number, because 240645753843121 - 2¹⁵ = 240645753810353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240645753843191) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32933587950 + ... + 32933595256.

Almost surely, 2^{240645753843121} is an apocalyptic number.

240645753843121 is the 15512761-st square number.

240645753843121 is the 7756381-st centered octagonal number.

It is an amenable number.

240645753843121 is a deficient number, since it is larger than the sum of its proper divisors (25279714652762).

240645753843121 is an frugal number, since it uses more digits than its factorization.

240645753843121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15022 (or 7511 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 55.

The spelling of 240645753843121 in words is "two hundred forty trillion, six hundred forty-five billion, seven hundred fifty-three million, eight hundred forty-three thousand, one hundred twenty-one".