329342110745472 has 640 divisors, whose sum is σ = 1100601167529600. Its totient is φ = 96883580252160.

The previous prime is 329342110745413. The next prime is 329342110745491. The reversal of 329342110745472 is 274547011243923.

329342110745472 is a `hidden beast` number, since 3 + 2 + 9 + 3 + 4 + 2 + 110 + 7 + 454 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1869272679 + ... + 1869448857.

It is an arithmetic number, because the mean of its divisors is an integer number (1719689324265).

Almost surely, 2^{329342110745472} is an apocalyptic number.

329342110745472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329342110745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550300583764800).

329342110745472 is an abundant number, since it is smaller than the sum of its proper divisors (771259056784128).

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

329342110745472 is a wasteful number, since it uses less digits than its factorization.

329342110745472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176696 (or 176675 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 329342110745472 in words is "three hundred twenty-nine trillion, three hundred forty-two billion, one hundred ten million, seven hundred forty-five thousand, four hundred seventy-two".