384546306816 has 144 divisors (see below), whose sum is σ = 1299624256000. Its totient is φ = 109870359552.

The previous prime is 384546306791. The next prime is 384546306841. The reversal of 384546306816 is 618603645483.

384546306816 is a `hidden beast` number, since 3 + 8 + 4 + 546 + 30 + 68 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (384546306791) and next prime (384546306841).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3925516 + ... + 4022283.

Almost surely, 2^384546306816 is an apocalyptic number.

384546306816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

384546306816 is an abundant number, since it is smaller than the sum of its proper divisors (915077949184).

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

384546306816 is an equidigital number, since it uses as much as digits as its factorization.

384546306816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7947831 (or 7947811 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 384546306816 in words is "three hundred eighty-four billion, five hundred forty-six million, three hundred six thousand, eight hundred sixteen".