384848868096 has 1728 divisors, whose sum is σ = 1567280332800. Its totient is φ = 87787929600.

The previous prime is 384848868091. The next prime is 384848868139. The reversal of 384848868096 is 690868848483.

384848868096 is a `hidden beast` number, since 3 + 8 + 484 + 88 + 68 + 0 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (384848868091) 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, 3030305985 + ... + 3030306111.

Almost surely, 2^384848868096 is an apocalyptic number.

384848868096 is a gapful number since it is divisible by the number (36) 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 384848868096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783640166400).

384848868096 is an abundant number, since it is smaller than the sum of its proper divisors (1182431464704).

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

384848868096 is a wasteful number, since it uses less digits than its factorization.

384848868096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

The spelling of 384848868096 in words is "three hundred eighty-four billion, eight hundred forty-eight million, eight hundred sixty-eight thousand, ninety-six".