384888921165056 has 360 divisors, whose sum is σ = 978064364012064. Its totient is φ = 149907833671680.

The previous prime is 384888921164983. The next prime is 384888921165079. The reversal of 384888921165056 is 650561129888483.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26213227091 + ... + 26213241773.

Almost surely, 2^{384888921165056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384888921165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489032182006032).

384888921165056 is an abundant number, since it is smaller than the sum of its proper divisors (593175442847008).

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

384888921165056 is an equidigital number, since it uses as much as digits as its factorization.

384888921165056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18615 (or 18580 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 74.

The spelling of 384888921165056 in words is "three hundred eighty-four trillion, eight hundred eighty-eight billion, nine hundred twenty-one million, one hundred sixty-five thousand, fifty-six".