329581062272 has 216 divisors, whose sum is σ = 840808368855. Its totient is φ = 128213352960.

The previous prime is 329581062263. The next prime is 329581062289. The reversal of 329581062272 is 272260185923.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 164790531136 + 164790531136 = 405944^2 + 405944^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=405944.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 500122679 + ... + 500123337.

Almost surely, 2^329581062272 is an apocalyptic number.

329581062272 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 329581062272

329581062272 is an abundant number, since it is smaller than the sum of its proper divisors (511227306583).

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

329581062272 is an frugal number, since it uses more digits than its factorization.

329581062272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 329581062272 in words is "three hundred twenty-nine billion, five hundred eighty-one million, sixty-two thousand, two hundred seventy-two".