163385434368 has 720 divisors, whose sum is σ = 562613624496. Its totient is φ = 46714060800.

The previous prime is 163385434367. The next prime is 163385434379. The reversal of 163385434368 is 863434583361.

163385434368 is a `hidden beast` number, since 1 + 6 + 3 + 38 + 543 + 4 + 3 + 68 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6341255424 + 157044178944 = 79632^2 + 396288^2 .

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

Its product of digits (14929920) is a multiple of the sum of its prime factors (512).

It is not an unprimeable number, because it can be changed into a prime (163385434363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 462848080 + ... + 462848432.

Almost surely, 2^163385434368 is an apocalyptic number.

163385434368 is a gapful number since it is divisible by the number (18) 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 163385434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281306812248).

163385434368 is an abundant number, since it is smaller than the sum of its proper divisors (399228190128).

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

163385434368 is a wasteful number, since it uses less digits than its factorization.

163385434368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 489 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 163385434368 in words is "one hundred sixty-three billion, three hundred eighty-five million, four hundred thirty-four thousand, three hundred sixty-eight".