163984896288 has 144 divisors (see below), whose sum is σ = 479523667896. Its totient is φ = 53118996480.

The previous prime is 163984896269. The next prime is 163984896289. The reversal of 163984896288 is 882698489361.

163984896288 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 8 + 489 + 62 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91220912784 + 72763983504 = 302028^2 + 269748^2 .

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

It is a super-2 number, since 2×163984896288² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (163984896289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9080548 + ... + 9098588.

Almost surely, 2^163984896288 is an apocalyptic number.

163984896288 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 163984896288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239761833948).

163984896288 is an abundant number, since it is smaller than the sum of its proper divisors (315538771608).

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

163984896288 is a wasteful number, since it uses less digits than its factorization.

163984896288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18947 (or 18936 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 72.

The spelling of 163984896288 in words is "one hundred sixty-three billion, nine hundred eighty-four million, eight hundred ninety-six thousand, two hundred eighty-eight".