163138158605664 has 1536 divisors, whose sum is σ = 558441780019200. Its totient is φ = 45869193216000.

The previous prime is 163138158605647. The next prime is 163138158605731. The reversal of 163138158605664 is 466506851831361.

163138158605664 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 3 + 8 + 1 + 5 + 8 + 60 + 566 + 4 = 666.

It is a super-2 number, since 2×163138158605664² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 387501564174 + ... + 387501564594.

It is an arithmetic number, because the mean of its divisors is an integer number (363568867200).

Almost surely, 2^{163138158605664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163138158605664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279220890009600).

163138158605664 is an abundant number, since it is smaller than the sum of its proper divisors (395303621413536).

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

163138158605664 is a wasteful number, since it uses less digits than its factorization.

163138158605664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 163138158605664 in words is "one hundred sixty-three trillion, one hundred thirty-eight billion, one hundred fifty-eight million, six hundred five thousand, six hundred sixty-four".