163117723234752 has 1512 divisors, whose sum is σ = 571500783165312. Its totient is φ = 44404470190080.

The previous prime is 163117723234723. The next prime is 163117723234847. The reversal of 163117723234752 is 257432327711361.

163117723234752 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 17 + 7 + 232 + 347 + 52 = 666.

It is a super-3 number, since 3×163117723234752³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 224371008213 + ... + 224371008939.

Almost surely, 2^{163117723234752} is an apocalyptic number.

163117723234752 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 163117723234752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285750391582656).

163117723234752 is an abundant number, since it is smaller than the sum of its proper divisors (408383059930560).

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

163117723234752 is a wasteful number, since it uses less digits than its factorization.

163117723234752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1242 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 163117723234752 in words is "one hundred sixty-three trillion, one hundred seventeen billion, seven hundred twenty-three million, two hundred thirty-four thousand, seven hundred fifty-two".