329949387211081 has 27 divisors (see below), whose sum is σ = 364312797058119. Its totient is φ = 298602730549200.

The previous prime is 329949387211063. The next prime is 329949387211097. The reversal of 329949387211081 is 180112783949923.

The square root of 329949387211081 is 18164509.

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., 307298831463481 + 22650555747600 = 17529941^2 + 4759260^2 .

It is not a de Polignac number, because 329949387211081 - 2¹⁹ = 329949386686793 is a prime.

It is a super-3 number, since 3×329949387211081³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 329949387210998 and 329949387211016.

It is not an unprimeable number, because it can be changed into a prime (329949387811081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45756394566 + ... + 45756401776.

Almost surely, 2^{329949387211081} is an apocalyptic number.

329949387211081 is the 18164509-th square number.

329949387211081 is the 9082255-th centered octagonal number.

It is an amenable number.

329949387211081 is a deficient number, since it is larger than the sum of its proper divisors (34363409847038).

329949387211081 is an frugal number, since it uses more digits than its factorization.

329949387211081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14902 (or 7451 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 67.

The spelling of 329949387211081 in words is "three hundred twenty-nine trillion, nine hundred forty-nine billion, three hundred eighty-seven million, two hundred eleven thousand, eighty-one".