384156442368 has 360 divisors, whose sum is σ = 1200765934368. Its totient is φ = 121923698688.

The previous prime is 384156442367. The next prime is 384156442421. The reversal of 384156442368 is 863244651483.

384156442368 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 564 + 42 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384156442363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111122496 + ... + 111125952.

Almost surely, 2^384156442368 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 384156442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600382967184).

384156442368 is an abundant number, since it is smaller than the sum of its proper divisors (816609492000).

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

384156442368 is a wasteful number, since it uses less digits than its factorization.

384156442368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3718 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 384156442368 in words is "three hundred eighty-four billion, one hundred fifty-six million, four hundred forty-two thousand, three hundred sixty-eight".