163816963200 has 864 divisors, whose sum is σ = 665072471700. Its totient is φ = 38320128000.

The previous prime is 163816963187. The next prime is 163816963223. The reversal of 163816963200 is 2369618361.

163816963200 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 1 + 6 + 9 + 632 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 83872793664 + 79944169536 = 289608^2 + 282744^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 101058390 + ... + 101060010.

Almost surely, 2^163816963200 is an apocalyptic number.

163816963200 is a gapful number since it is divisible by the number (10) 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 163816963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332536235850).

163816963200 is an abundant number, since it is smaller than the sum of its proper divisors (501255508500).

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

163816963200 is a wasteful number, since it uses less digits than its factorization.

163816963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 163816963200 in words is "one hundred sixty-three billion, eight hundred sixteen million, nine hundred sixty-three thousand, two hundred".