384956618688 has 336 divisors, whose sum is σ = 1156306511360. Its totient is φ = 126978969600.

The previous prime is 384956618687. The next prime is 384956618707. The reversal of 384956618688 is 886816659483.

It is a happy number.

384956618688 is a `hidden beast` number, since 3 + 8 + 49 + 566 + 18 + 6 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384956618687) 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 47 ways as a sum of consecutive naturals, for example, 1015716483 + ... + 1015716861.

Almost surely, 2^384956618688 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 384956618688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578153255680).

384956618688 is an abundant number, since it is smaller than the sum of its proper divisors (771349892672).

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

384956618688 is a wasteful number, since it uses less digits than its factorization.

384956618688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 896 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 384956618688 in words is "three hundred eighty-four billion, nine hundred fifty-six million, six hundred eighteen thousand, six hundred eighty-eight".