163864512 has 448 divisors, whose sum is σ = 624230400. Its totient is φ = 41057280.

The previous prime is 163864501. The next prime is 163864523. The reversal of 163864512 is 215468361.

It is a happy number.

163864512 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 645 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (163864501) and next prime (163864523).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5285937 + ... + 5285967.

Almost surely, 2^163864512 is an apocalyptic number.

163864512 is a gapful number since it is divisible by the number (12) 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 163864512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312115200).

163864512 is an abundant number, since it is smaller than the sum of its proper divisors (460365888).

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

163864512 is a wasteful number, since it uses less digits than its factorization.

163864512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

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

The square root of 163864512 is about 12800.9574641899. The cubic root of 163864512 is about 547.2195899419.

The spelling of 163864512 in words is "one hundred sixty-three million, eight hundred sixty-four thousand, five hundred twelve".