384295847056 has 135 divisors (see below), whose sum is σ = 834101573067. Its totient is φ = 171394375680.

The previous prime is 384295847053. The next prime is 384295847107. The reversal of 384295847056 is 650748592483.

The square root of 384295847056 is 619916.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15604007056 + 368691840000 = 124916^2 + 607200^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 384295846985 and 384295847003.

It is not an unprimeable number, because it can be changed into a prime (384295847053) by changing a digit.

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, 1991170096 + ... + 1991170288.

Almost surely, 2^384295847056 is an apocalyptic number.

384295847056 is the 619916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384295847056

384295847056 is an abundant number, since it is smaller than the sum of its proper divisors (449805726011).

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

384295847056 is an equidigital number, since it uses as much as digits as its factorization.

384295847056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 61.

The spelling of 384295847056 in words is "three hundred eighty-four billion, two hundred ninety-five million, eight hundred forty-seven thousand, fifty-six".