29248182441 has 27 divisors (see below), whose sum is σ = 42720203799. Its totient is φ = 19282959792.

The previous prime is 29248182433. The next prime is 29248182451. The reversal of 29248182441 is 14428184292.

The square root of 29248182441 is 171021.

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

29248182441 is a `hidden beast` number, since 2 + 9 + 24 + 8 + 182 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20385842841 + 8862339600 = 142779^2 + 94140^2 .

It is not a de Polignac number, because 29248182441 - 2³ = 29248182433 is a prime.

It is a super-2 number, since 2×29248182441² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29248182451) 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, 55923606 + ... + 55924128.

Almost surely, 2^29248182441 is an apocalyptic number.

29248182441 is the 171021-st square number.

29248182441 is the 85511-st centered octagonal number.

It is an amenable number.

29248182441 is a deficient number, since it is larger than the sum of its proper divisors (13472021358).

29248182441 is an frugal number, since it uses more digits than its factorization.

29248182441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 635 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 29248182441 in words is "twenty-nine billion, two hundred forty-eight million, one hundred eighty-two thousand, four hundred forty-one".