329142036201 has 16 divisors (see below), whose sum is σ = 479786096640. Its totient is φ = 199049170320.

The previous prime is 329142036173. The next prime is 329142036227. The reversal of 329142036201 is 102630241923.

It is not a de Polignac number, because 329142036201 - 2¹¹ = 329142034153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (329142036001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10755781 + ... + 10786338.

It is an arithmetic number, because the mean of its divisors is an integer number (29986631040).

Almost surely, 2^329142036201 is an apocalyptic number.

It is an amenable number.

329142036201 is a deficient number, since it is larger than the sum of its proper divisors (150644060439).

329142036201 is a wasteful number, since it uses less digits than its factorization.

329142036201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21542596.

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 329142036201 in words is "three hundred twenty-nine billion, one hundred forty-two million, thirty-six thousand, two hundred one".