163516653216 has 288 divisors, whose sum is σ = 552993412608. Its totient is φ = 44860907520.

The previous prime is 163516653211. The next prime is 163516653227. The reversal of 163516653216 is 612356615361.

It is a happy number.

163516653216 is a `hidden beast` number, since 1 + 6 + 3 + 51 + 66 + 532 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (163516653211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5005576 + ... + 5038136.

It is an arithmetic number, because the mean of its divisors is an integer number (1920116016).

Almost surely, 2^163516653216 is an apocalyptic number.

163516653216 is a gapful number since it is divisible by the number (16) 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 163516653216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276496706304).

163516653216 is an abundant number, since it is smaller than the sum of its proper divisors (389476759392).

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

163516653216 is a wasteful number, since it uses less digits than its factorization.

163516653216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32684 (or 32673 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 163516653216 in words is "one hundred sixty-three billion, five hundred sixteen million, six hundred fifty-three thousand, two hundred sixteen".