29842850305321 has 27 divisors (see below), whose sum is σ = 31630738300119. Its totient is φ = 28151914551408.

The previous prime is 29842850305291. The next prime is 29842850305327. The reversal of 29842850305321 is 12350305824892.

The square root of 29842850305321 is 5462861.

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., 1670491625625 + 28172358679696 = 1292475^2 + 5307764^2 .

It is not a de Polignac number, because 29842850305321 - 2³⁷ = 29705411351849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29842850305327) 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 26 ways as a sum of consecutive naturals, for example, 32902811350 + ... + 32902812256.

Almost surely, 2^{29842850305321} is an apocalyptic number.

29842850305321 is the 5462861-st square number.

29842850305321 is the 2731431-st centered octagonal number.

It is an amenable number.

29842850305321 is a deficient number, since it is larger than the sum of its proper divisors (1787887994798).

29842850305321 is an frugal number, since it uses more digits than its factorization.

29842850305321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 29842850305321 in words is "twenty-nine trillion, eight hundred forty-two billion, eight hundred fifty million, three hundred five thousand, three hundred twenty-one".