329649370801 has 9 divisors (see below), whose sum is σ = 340644641259. Its totient is φ = 318998295600.

The previous prime is 329649370783. The next prime is 329649370811. The reversal of 329649370801 is 108073946923.

The square root of 329649370801 is 574151.

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., 327871905201 + 1777465600 = 572601^2 + 42160^2 .

It is a de Polignac number, because none of the positive numbers 2^k-329649370801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329649370811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17789421 + ... + 17807941.

Almost surely, 2^329649370801 is an apocalyptic number.

329649370801 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

329649370801 is the 574151-st square number.

329649370801 is the 287076-th centered octagonal number.

It is an amenable number.

329649370801 is a deficient number, since it is larger than the sum of its proper divisors (10995270458).

329649370801 is an frugal number, since it uses more digits than its factorization.

329649370801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37104 (or 18552 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 329649370801 in words is "three hundred twenty-nine billion, six hundred forty-nine million, three hundred seventy thousand, eight hundred one".