163852416 has 256 divisors, whose sum is σ = 596332800. Its totient is φ = 43130880.

The previous prime is 163852393. The next prime is 163852427. The reversal of 163852416 is 614258361.

It is a happy number.

163852416 is a `hidden beast` number, since 1 + 638 + 5 + 2 + 4 + 16 = 666.

It is a super-2 number, since 2×163852416² = 53695228458074112, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314236 + ... + 314756.

It is an arithmetic number, because the mean of its divisors is an integer number (2329425).

Almost surely, 2^163852416 is an apocalyptic number.

163852416 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 163852416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298166400).

163852416 is an abundant number, since it is smaller than the sum of its proper divisors (432480384).

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

163852416 is a wasteful number, since it uses less digits than its factorization.

163852416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 546 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 163852416 is about 12800.4849908119. The cubic root of 163852416 is about 547.2061248930.

The spelling of 163852416 in words is "one hundred sixty-three million, eight hundred fifty-two thousand, four hundred sixteen".