384752240656 has 45 divisors (see below), whose sum is σ = 867203953821. Its totient is φ = 164886374016.

The previous prime is 384752240617. The next prime is 384752240657. The reversal of 384752240656 is 656042257483.

The square root of 384752240656 is 620284.

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., 21403690000 + 363348550656 = 146300^2 + 602784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (384752240657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17356876 + ... + 17379028.

Almost surely, 2^384752240656 is an apocalyptic number.

384752240656 is the 620284-th square number.

It is an amenable number.

384752240656 is an abundant number, since it is smaller than the sum of its proper divisors (482451713165).

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

384752240656 is an frugal number, since it uses more digits than its factorization.

384752240656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44328 (or 22162 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 384752240656 in words is "three hundred eighty-four billion, seven hundred fifty-two million, two hundred forty thousand, six hundred fifty-six".