29128245849481 has 27 divisors (see below), whose sum is σ = 29991772851957. Its totient is φ = 28289224454400.

The previous prime is 29128245849473. The next prime is 29128245849509. The reversal of 29128245849481 is 18494854282192.

The square root of 29128245849481 is 5397059.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11602521225 + 29116643328256 = 107715^2 + 5395984^2 .

It is not a de Polignac number, because 29128245849481 - 2³ = 29128245849473 is a prime.

It is a super-2 number, since 2×29128245849481² (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 (29128245849881) 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, 72639016881 + ... + 72639017281.

Almost surely, 2^{29128245849481} is an apocalyptic number.

29128245849481 is the 5397059-th square number.

29128245849481 is the 2698530-th centered octagonal number.

It is an amenable number.

29128245849481 is a deficient number, since it is larger than the sum of its proper divisors (863527002476).

29128245849481 is an frugal number, since it uses more digits than its factorization.

29128245849481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 757 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 67.

The spelling of 29128245849481 in words is "twenty-nine trillion, one hundred twenty-eight billion, two hundred forty-five million, eight hundred forty-nine thousand, four hundred eighty-one".