384382147968 has 1152 divisors, whose sum is σ = 1459059114240. Its totient is φ = 96148684800.

The previous prime is 384382147943. The next prime is 384382147993. The reversal of 384382147968 is 869741283483.

384382147968 is a `hidden beast` number, since 3 + 84 + 3 + 8 + 21 + 479 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (384382147943) and next prime (384382147993).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1387661046 + ... + 1387661322.

It is an arithmetic number, because the mean of its divisors is an integer number (1266544370).

Almost surely, 2^384382147968 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 384382147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729529557120).

384382147968 is an abundant number, since it is smaller than the sum of its proper divisors (1074676966272).

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

384382147968 is a wasteful number, since it uses less digits than its factorization.

384382147968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 394 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 384382147968 in words is "three hundred eighty-four billion, three hundred eighty-two million, one hundred forty-seven thousand, nine hundred sixty-eight".