163348416 has 336 divisors, whose sum is σ = 608624640. Its totient is φ = 40642560.

The previous prime is 163348349. The next prime is 163348433. The reversal of 163348416 is 614843361.

It is a happy number.

163348416 is a `hidden beast` number, since 1 + 633 + 4 + 8 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (41472) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1286145 + ... + 1286271.

Almost surely, 2^163348416 is an apocalyptic number.

163348416 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 163348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304312320).

163348416 is an abundant number, since it is smaller than the sum of its proper divisors (445276224).

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

163348416 is a wasteful number, since it uses less digits than its factorization.

163348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 163348416 is about 12780.7830746007. The cubic root of 163348416 is about 546.6444911356.

The spelling of 163348416 in words is "one hundred sixty-three million, three hundred forty-eight thousand, four hundred sixteen".