384222595968 has 192 divisors, whose sum is σ = 1111944244320. Its totient is φ = 127346135040.

The previous prime is 384222595943. The next prime is 384222595969. The reversal of 384222595968 is 869595222483.

384222595968 is a `hidden beast` number, since 38 + 4 + 2 + 2 + 2 + 5 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384222595969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206459358 + ... + 206461218.

Almost surely, 2^384222595968 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 384222595968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555972122160).

384222595968 is an abundant number, since it is smaller than the sum of its proper divisors (727721648352).

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

384222595968 is a wasteful number, since it uses less digits than its factorization.

384222595968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2790 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 384222595968 in words is "three hundred eighty-four billion, two hundred twenty-two million, five hundred ninety-five thousand, nine hundred sixty-eight".