163683106560 has 288 divisors, whose sum is σ = 582536566080. Its totient is φ = 43521933312.

The previous prime is 163683106529. The next prime is 163683106567. The reversal of 163683106560 is 65601386361.

163683106560 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 83 + 1 + 0 + 6 + 560 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163683106567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12192972 + ... + 12206388.

It is an arithmetic number, because the mean of its divisors is an integer number (2022696410).

Almost surely, 2^163683106560 is an apocalyptic number.

163683106560 is a gapful number since it is divisible by the number (10) 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 163683106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291268283040).

163683106560 is an abundant number, since it is smaller than the sum of its proper divisors (418853459520).

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

163683106560 is a wasteful number, since it uses less digits than its factorization.

163683106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13800 (or 13780 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 163683106560 in words is "one hundred sixty-three billion, six hundred eighty-three million, one hundred six thousand, five hundred sixty".