29148391441 has 27 divisors (see below), whose sum is σ = 33052908987. Its totient is φ = 25691299920.

The previous prime is 29148391423. The next prime is 29148391453. The reversal of 29148391441 is 14419384192.

The square root of 29148391441 is 170729.

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., 4311892225 + 24836499216 = 65665^2 + 157596^2 .

It is not a de Polignac number, because 29148391441 - 2⁷ = 29148391313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29148391391 and 29148391400.

It is not an unprimeable number, because it can be changed into a prime (29148991441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51047686 + ... + 51048256.

Almost surely, 2^29148391441 is an apocalyptic number.

29148391441 is the 170729-th square number.

29148391441 is the 85365-th centered octagonal number.

It is an amenable number.

29148391441 is a deficient number, since it is larger than the sum of its proper divisors (3904517546).

29148391441 is an frugal number, since it uses more digits than its factorization.

29148391441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 607 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The spelling of 29148391441 in words is "twenty-nine billion, one hundred forty-eight million, three hundred ninety-one thousand, four hundred forty-one".