29746245841 has 9 divisors (see below), whose sum is σ = 32212859931. Its totient is φ = 27456003432.

The previous prime is 29746245817. The next prime is 29746245871. The reversal of 29746245841 is 14854264792.

The square root of 29746245841 is 172471.

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., 4400332225 + 25345913616 = 66335^2 + 159204^2 .

It is not a de Polignac number, because 29746245841 - 2¹³ = 29746237649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29746245811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2235490 + ... + 2248756.

It is an arithmetic number, because the mean of its divisors is an integer number (3579206659).

Almost surely, 2^29746245841 is an apocalyptic number.

29746245841 is the 172471-st square number.

29746245841 is the 86236-th centered octagonal number.

It is an amenable number.

29746245841 is a deficient number, since it is larger than the sum of its proper divisors (2466614090).

29746245841 is an frugal number, since it uses more digits than its factorization.

29746245841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26560 (or 13280 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 52.

The spelling of 29746245841 in words is "twenty-nine billion, seven hundred forty-six million, two hundred forty-five thousand, eight hundred forty-one".