329348016610704 has 405 divisors, whose sum is σ = 1161092715535233. Its totient is φ = 86855788760832.

The previous prime is 329348016610603. The next prime is 329348016610709. The reversal of 329348016610704 is 407016610843923.

The square root of 329348016610704 is 18147948.

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

329348016610704 is a `hidden beast` number, since 3 + 2 + 9 + 3 + 4 + 8 + 0 + 16 + 610 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48720120800400 + 280627895810304 = 6979980^2 + 16751952^2 .

It is not an unprimeable number, because it can be changed into a prime (329348016610709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19817550907 + ... + 19817567525.

Almost surely, 2^{329348016610704} is an apocalyptic number.

329348016610704 is the 18147948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329348016610704

329348016610704 is an abundant number, since it is smaller than the sum of its proper divisors (831744698924529).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

329348016610704 is an equidigital number, since it uses as much as digits as its factorization.

329348016610704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33292 (or 16644 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 329348016610704 in words is "three hundred twenty-nine trillion, three hundred forty-eight billion, sixteen million, six hundred ten thousand, seven hundred four".