163338030801 has 81 divisors (see below), whose sum is σ = 267337030779. Its totient is φ = 96026277600.

The previous prime is 163338030767. The next prime is 163338030881. The reversal of 163338030801 is 108030833361.

The square root of 163338030801 is 404151.

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

163338030801 is a `hidden beast` number, since 16 + 3 + 338 + 0 + 308 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146157113025 + 17180917776 = 382305^2 + 131076^2 .

It is a de Polignac number, because none of the positive numbers 2^k-163338030801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (163338030881) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 493468206 + ... + 493468536.

Almost surely, 2^163338030801 is an apocalyptic number.

163338030801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

163338030801 is the 404151-st square number.

163338030801 is the 202076-th centered octagonal number.

It is an amenable number.

163338030801 is a deficient number, since it is larger than the sum of its proper divisors (103998999978).

163338030801 is an equidigital number, since it uses as much as digits as its factorization.

163338030801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 163338030801 by its sum of digits (36), we get a square (5880169108836 = 2424906²).

The spelling of 163338030801 in words is "one hundred sixty-three billion, three hundred thirty-eight million, thirty thousand, eight hundred one".