163921133376 has 1120 divisors, whose sum is σ = 674122014720. Its totient is φ = 37996646400.

The previous prime is 163921133309. The next prime is 163921133399. The reversal of 163921133376 is 673331129361.

163921133376 is a `hidden beast` number, since 1 + 6 + 39 + 211 + 33 + 376 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160864195 + ... + 160865213.

It is an arithmetic number, because the mean of its divisors is an integer number (601894656).

Almost surely, 2^163921133376 is an apocalyptic number.

163921133376 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 163921133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337061007360).

163921133376 is an abundant number, since it is smaller than the sum of its proper divisors (510200881344).

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

163921133376 is a wasteful number, since it uses less digits than its factorization.

163921133376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1086 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The spelling of 163921133376 in words is "one hundred sixty-three billion, nine hundred twenty-one million, one hundred thirty-three thousand, three hundred seventy-six".