163503648 has 288 divisors, whose sum is σ = 593453952. Its totient is φ = 41472000.

The previous prime is 163503643. The next prime is 163503661. The reversal of 163503648 is 846305361.

163503648 is a `hidden beast` number, since 1 + 6 + 3 + 5 + 0 + 3 + 648 = 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 (36).

It is not an unprimeable number, because it can be changed into a prime (163503643) 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, 1618798 + ... + 1618898.

It is an arithmetic number, because the mean of its divisors is an integer number (2060604).

Almost surely, 2^163503648 is an apocalyptic number.

163503648 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 163503648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296726976).

163503648 is an abundant number, since it is smaller than the sum of its proper divisors (429950304).

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

163503648 is a wasteful number, since it uses less digits than its factorization.

163503648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 163503648 is about 12786.8544998369. The cubic root of 163503648 is about 546.8175972968.

The spelling of 163503648 in words is "one hundred sixty-three million, five hundred three thousand, six hundred forty-eight".