384247926318144 has 336 divisors, whose sum is σ = 1244942105284800. Its totient is φ = 104002175176704.

The previous prime is 384247926318133. The next prime is 384247926318209. The reversal of 384247926318144 is 441813629742483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5775265102 + ... + 5775331634.

Almost surely, 2^{384247926318144} 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 384247926318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622471052642400).

384247926318144 is an abundant number, since it is smaller than the sum of its proper divisors (860694178966656).

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

384247926318144 is a wasteful number, since it uses less digits than its factorization.

384247926318144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98890 (or 98873 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 66.

The spelling of 384247926318144 in words is "three hundred eighty-four trillion, two hundred forty-seven billion, nine hundred twenty-six million, three hundred eighteen thousand, one hundred forty-four".