384371152416 has 192 divisors, whose sum is σ = 1126895414400. Its totient is φ = 127461040128.

The previous prime is 384371152411. The next prime is 384371152421. The reversal of 384371152416 is 614251173483.

384371152416 is a `hidden beast` number, since 3 + 8 + 43 + 71 + 1 + 524 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (384371152411) and next prime (384371152421).

It is not an unprimeable number, because it can be changed into a prime (384371152411) 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 31 ways as a sum of consecutive naturals, for example, 238887420 + ... + 238889028.

It is an arithmetic number, because the mean of its divisors is an integer number (5869246950).

Almost surely, 2^384371152416 is an apocalyptic number.

384371152416 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 384371152416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563447707200).

384371152416 is an abundant number, since it is smaller than the sum of its proper divisors (742524261984).

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

384371152416 is a wasteful number, since it uses less digits than its factorization.

384371152416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2874 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 384371152416 in words is "three hundred eighty-four billion, three hundred seventy-one million, one hundred fifty-two thousand, four hundred sixteen".