329542131391201 has 8 divisors (see below), whose sum is σ = 338644664694504. Its totient is φ = 320490308580480.

The previous prime is 329542131391199. The next prime is 329542131391217. The reversal of 329542131391201 is 102193131245923.

It can be written as a sum of positive squares in 4 ways, for example, as 1905161836176 + 327636969555025 = 1380276^2 + 18100745^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 329542131391201 - 2¹ = 329542131391199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329542131391261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12677609970 + ... + 12677635963.

It is an arithmetic number, because the mean of its divisors is an integer number (42330583086813).

Almost surely, 2^{329542131391201} is an apocalyptic number.

It is an amenable number.

329542131391201 is a deficient number, since it is larger than the sum of its proper divisors (9102533303303).

329542131391201 is a wasteful number, since it uses less digits than its factorization.

329542131391201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25355246291.

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 329542131391201 in words is "three hundred twenty-nine trillion, five hundred forty-two billion, one hundred thirty-one million, three hundred ninety-one thousand, two hundred one".