329842313761 has 9 divisors (see below), whose sum is σ = 334594776243. Its totient is φ = 325156445040.

The previous prime is 329842313753. The next prime is 329842313767. The reversal of 329842313761 is 167313248923.

The square root of 329842313761 is 574319.

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., 3984008161 + 325858305600 = 63119^2 + 570840^2 .

It is not a de Polignac number, because 329842313761 - 2³ = 329842313753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329842313767) 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, 40772605 + ... + 40780693.

Almost surely, 2^329842313761 is an apocalyptic number.

329842313761 is the 574319-th square number.

329842313761 is the 287160-th centered octagonal number.

It is an amenable number.

329842313761 is a deficient number, since it is larger than the sum of its proper divisors (4752462482).

329842313761 is an frugal number, since it uses more digits than its factorization.

329842313761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16320 (or 8160 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 49.

Multiplying 329842313761 by its sum of digits (49), we get a square (16162273374289 = 4020233²).

The spelling of 329842313761 in words is "three hundred twenty-nine billion, eight hundred forty-two million, three hundred thirteen thousand, seven hundred sixty-one".