29305343460481 has 27 divisors (see below), whose sum is σ = 33674630811843. Its totient is φ = 25481716399920.

The previous prime is 29305343460469. The next prime is 29305343460487. The reversal of 29305343460481 is 18406434350392.

The square root of 29305343460481 is 5413441.

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., 28863272727025 + 442070733456 = 5372455^2 + 664884^2 .

It is not a de Polignac number, because 29305343460481 - 2¹⁵ = 29305343427713 is a prime.

It is a super-2 number, since 2×29305343460481² (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 (29305343460487) 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, 1369589875 + ... + 1369611271.

Almost surely, 2^{29305343460481} is an apocalyptic number.

29305343460481 is the 5413441-st square number.

29305343460481 is the 2706721-st centered octagonal number.

It is an amenable number.

29305343460481 is a deficient number, since it is larger than the sum of its proper divisors (4369287351362).

29305343460481 is an frugal number, since it uses more digits than its factorization.

29305343460481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42862 (or 21431 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 29305343460481 in words is "twenty-nine trillion, three hundred five billion, three hundred forty-three million, four hundred sixty thousand, four hundred eighty-one".