329127955069456 has 45 divisors (see below), whose sum is σ = 673017064093101. Its totient is φ = 155902062451392.

The previous prime is 329127955069453. The next prime is 329127955069531. The reversal of 329127955069456 is 654960559721923.

The square root of 329127955069456 is 18141884.

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

It can be written as a sum of positive squares in only one way, i.e., 177580037239056 + 151547917830400 = 13325916^2 + 12310480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329127955069453) 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 8 ways as a sum of consecutive naturals, for example, 1378663830 + ... + 1378902538.

Almost surely, 2^{329127955069456} is an apocalyptic number.

329127955069456 is the 18141884-th square number.

It is an amenable number.

329127955069456 is an abundant number, since it is smaller than the sum of its proper divisors (343889109023645).

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

329127955069456 is an frugal number, since it uses more digits than its factorization.

329127955069456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477464 (or 238730 counting only the distinct ones).

The product of its (nonzero) digits is 1102248000, while the sum is 73.

The spelling of 329127955069456 in words is "three hundred twenty-nine trillion, one hundred twenty-seven billion, nine hundred fifty-five million, sixty-nine thousand, four hundred fifty-six".