163478016 has 120 divisors (see below), whose sum is σ = 508287780. Its totient is φ = 50282496.

The previous prime is 163478011. The next prime is 163478027. The reversal of 163478016 is 610874361.

163478016 is a `hidden beast` number, since 1 + 634 + 7 + 8 + 0 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161798400 + 1679616 = 12720^2 + 1296^2 .

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 (163478011) 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 11 ways as a sum of consecutive naturals, for example, 58540 + ... + 61268.

Almost surely, 2^163478016 is an apocalyptic number.

163478016 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 163478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254143890).

163478016 is an abundant number, since it is smaller than the sum of its proper divisors (344809764).

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

163478016 is a wasteful number, since it uses less digits than its factorization.

163478016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 163478016 is about 12785.8521812197. The cubic root of 163478016 is about 546.7890214591.

The spelling of 163478016 in words is "one hundred sixty-three million, four hundred seventy-eight thousand, sixteen".