163991900160 has 1560 divisors, whose sum is σ = 695997788640. Its totient is φ = 36787322880.

The previous prime is 163991900063. The next prime is 163991900221. The reversal of 163991900160 is 61009199361.

163991900160 is a `hidden beast` number, since 1 + 639 + 9 + 1 + 9 + 0 + 0 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3813765099 + ... + 3813765141.

Almost surely, 2^163991900160 is an apocalyptic number.

163991900160 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 163991900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347998894320).

163991900160 is an abundant number, since it is smaller than the sum of its proper divisors (532005888480).

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

163991900160 is a wasteful number, since it uses less digits than its factorization.

163991900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 163991900160 in words is "one hundred sixty-three billion, nine hundred ninety-one million, nine hundred thousand, one hundred sixty".