29965891240321 has 9 divisors (see below), whose sum is σ = 30169175534211. Its totient is φ = 29763967707864.

The previous prime is 29965891240277. The next prime is 29965891240339. The reversal of 29965891240321 is 12304219856992.

The square root of 29965891240321 is 5474111.

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., 3510710468721 + 26455180771600 = 1873689^2 + 5143460^2 .

It is not a de Polignac number, because 29965891240321 - 2¹¹ = 29965891238273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29965891240321.

It is not an unprimeable number, because it can be changed into a prime (29965891040321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 815624170 + ... + 815660908.

Almost surely, 2^{29965891240321} is an apocalyptic number.

29965891240321 is the 5474111-st square number.

29965891240321 is the 2737056-th centered octagonal number.

It is an amenable number.

29965891240321 is a deficient number, since it is larger than the sum of its proper divisors (203284293890).

29965891240321 is an frugal number, since it uses more digits than its factorization.

29965891240321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73776 (or 36888 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 61.

The spelling of 29965891240321 in words is "twenty-nine trillion, nine hundred sixty-five billion, eight hundred ninety-one million, two hundred forty thousand, three hundred twenty-one".