240868934656 has 165 divisors, whose sum is σ = 563520028101. Its totient is φ = 102899736576.

The previous prime is 240868934653. The next prime is 240868934737. The reversal of 240868934656 is 656439868042.

The square root of 240868934656 is 490784.

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., 1536640000 + 239332294656 = 39200^2 + 489216^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 240868934594 and 240868934603.

It is not an unprimeable number, because it can be changed into a prime (240868934653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 769549156 + ... + 769549468.

Almost surely, 2^240868934656 is an apocalyptic number.

240868934656 is the 490784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240868934656

240868934656 is an abundant number, since it is smaller than the sum of its proper divisors (322651093445).

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

240868934656 is an frugal number, since it uses more digits than its factorization.

240868934656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 61.

The spelling of 240868934656 in words is "two hundred forty billion, eight hundred sixty-eight million, nine hundred thirty-four thousand, six hundred fifty-six".