384568486848000 has 1920 divisors, whose sum is σ = 1706073568303104. Its totient is φ = 81078755328000.

The previous prime is 384568486847977. The next prime is 384568486848001. The reversal of 384568486848000 is 848684865483.

384568486848000 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 6 + 84 + 8 + 68 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 384568486848000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384568486848001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117569086365 + ... + 117569089635.

Almost surely, 2^{384568486848000} is an apocalyptic number.

384568486848000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384568486848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853036784151552).

384568486848000 is an abundant number, since it is smaller than the sum of its proper divisors (1321505081455104).

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

384568486848000 is a wasteful number, since it uses less digits than its factorization.

384568486848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5573 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 1132462080, while the sum is 72.

The spelling of 384568486848000 in words is "three hundred eighty-four trillion, five hundred sixty-eight billion, four hundred eighty-six million, eight hundred forty-eight thousand".