163968639640576 has 33 divisors (see below), whose sum is σ = 327777972779929. Its totient is φ = 81984114939904.

The previous prime is 163968639640511. The next prime is 163968639640601. The reversal of 163968639640576 is 675046936869361.

The square root of 163968639640576 is 12805024.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 150676607001600 + 13292032638976 = 12275040^2 + 3645824^2 .

It is a super-2 number, since 2×163968639640576² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 163968639640496 and 163968639640505.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 409560690 + ... + 409960846.

Almost surely, 2^{163968639640576} is an apocalyptic number.

163968639640576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

163968639640576 is the 12805024-th square number.

It is an amenable number.

163968639640576 is a deficient number, since it is larger than the sum of its proper divisors (163809333139353).

163968639640576 is an frugal number, since it uses more digits than its factorization.

163968639640576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800334 (or 400159 counting only the distinct ones).

The product of its (nonzero) digits is 6348948480, while the sum is 79.

The spelling of 163968639640576 in words is "one hundred sixty-three trillion, nine hundred sixty-eight billion, six hundred thirty-nine million, six hundred forty thousand, five hundred seventy-six".