29801205066304 has 189 divisors, whose sum is σ = 69825148744521. Its totient is φ = 12582887278080.

The previous prime is 29801205066229. The next prime is 29801205066307. The reversal of 29801205066304 is 40366050210892.

The square root of 29801205066304 is 5459048.

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., 29454934017600 + 346271048704 = 5427240^2 + 588448^2 .

It is a super-2 number, since 2×29801205066304² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29801205066307) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21705174162 + ... + 21705175534.

Almost surely, 2^{29801205066304} is an apocalyptic number.

29801205066304 is the 5459048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29801205066304

29801205066304 is an abundant number, since it is smaller than the sum of its proper divisors (40023943678217).

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

29801205066304 is an frugal number, since it uses more digits than its factorization.

29801205066304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 29801205066304 in words is "twenty-nine trillion, eight hundred one billion, two hundred five million, sixty-six thousand, three hundred four".