241265651344 has 135 divisors (see below), whose sum is σ = 517574307369. Its totient is φ = 108925850880.

The previous prime is 241265651311. The next prime is 241265651371. The reversal of 241265651344 is 443156562142.

The square root of 241265651344 is 491188.

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., 163044748944 + 78220902400 = 403788^2 + 279680^2 .

It is a super-2 number, since 2×241265651344² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 241265651344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 858596484 + ... + 858596764.

Almost surely, 2^241265651344 is an apocalyptic number.

241265651344 is the 491188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241265651344

241265651344 is an abundant number, since it is smaller than the sum of its proper divisors (276308656025).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241265651344 is an equidigital number, since it uses as much as digits as its factorization.

241265651344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 325 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The spelling of 241265651344 in words is "two hundred forty-one billion, two hundred sixty-five million, six hundred fifty-one thousand, three hundred forty-four".