384564116160 has 1008 divisors, whose sum is σ = 1627187455296. Its totient is φ = 81620877312.

The previous prime is 384564116159. The next prime is 384564116173. The reversal of 384564116160 is 61611465483.

384564116160 is a `hidden beast` number, since 3 + 84 + 564 + 1 + 1 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 385720782 + ... + 385721778.

Almost surely, 2^384564116160 is an apocalyptic number.

384564116160 is a gapful number since it is divisible by the number (30) 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 384564116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813593727648).

384564116160 is an abundant number, since it is smaller than the sum of its proper divisors (1242623339136).

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

384564116160 is a wasteful number, since it uses less digits than its factorization.

384564116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 384564116160 in words is "three hundred eighty-four billion, five hundred sixty-four million, one hundred sixteen thousand, one hundred sixty".