240884585488849 has 27 divisors (see below), whose sum is σ = 246657563917947. Its totient is φ = 235245925858464.

The previous prime is 240884585488817. The next prime is 240884585488873. The reversal of 240884585488849 is 948884585488042.

The square root of 240884585488849 is 15520457.

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., 136737825315025 + 104146760173824 = 11693495^2 + 10205232^2 .

It is not a de Polignac number, because 240884585488849 - 2⁵ = 240884585488817 is a prime.

It is a super-2 number, since 2×240884585488849² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240884585488249) 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, 121230288634 + ... + 121230290620.

Almost surely, 2^{240884585488849} is an apocalyptic number.

240884585488849 is the 15520457-th square number.

240884585488849 is the 7760229-th centered octagonal number.

It is an amenable number.

240884585488849 is a deficient number, since it is larger than the sum of its proper divisors (5772978429098).

240884585488849 is an frugal number, since it uses more digits than its factorization.

240884585488849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 30198988800, while the sum is 85.

The spelling of 240884585488849 in words is "two hundred forty trillion, eight hundred eighty-four billion, five hundred eighty-five million, four hundred eighty-eight thousand, eight hundred forty-nine".