329374133345 has 8 divisors (see below), whose sum is σ = 395258795880. Its totient is φ = 263492749440.

The previous prime is 329374133329. The next prime is 329374133369. The reversal of 329374133345 is 543331473923.

It can be written as a sum of positive squares in 4 ways, for example, as 16688505856 + 312685627489 = 129184^2 + 559183^2 .

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

It is not a de Polignac number, because 329374133345 - 2⁴ = 329374133329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 329374133345.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 592940 + ... + 1005149.

It is an arithmetic number, because the mean of its divisors is an integer number (49407349485).

Almost surely, 2^329374133345 is an apocalyptic number.

It is an amenable number.

329374133345 is a deficient number, since it is larger than the sum of its proper divisors (65884662535).

329374133345 is a wasteful number, since it uses less digits than its factorization.

329374133345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639315.

The product of its digits is 2449440, while the sum is 47.

The spelling of 329374133345 in words is "three hundred twenty-nine billion, three hundred seventy-four million, one hundred thirty-three thousand, three hundred forty-five".