29556830241 has 27 divisors (see below), whose sum is σ = 45365748883. Its totient is φ = 18539960640.

The previous prime is 29556830239. The next prime is 29556830243. The reversal of 29556830241 is 14203865592.

The square root of 29556830241 is 171921.

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

29556830241 is a `hidden beast` number, since 29 + 556 + 8 + 30 + 2 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (29556830239) and next prime (29556830243).

It can be written as a sum of positive squares in only one way, i.e., 23011373025 + 6545457216 = 151695^2 + 80904^2 .

It is not a de Polignac number, because 29556830241 - 2¹ = 29556830239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29556830243) 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, 8766286 + ... + 8769656.

Almost surely, 2^29556830241 is an apocalyptic number.

29556830241 is the 171921-st square number.

29556830241 is the 85961-st centered octagonal number.

It is an amenable number.

29556830241 is a deficient number, since it is larger than the sum of its proper divisors (15808918642).

29556830241 is an frugal number, since it uses more digits than its factorization.

29556830241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6782 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 29556830241 in words is "twenty-nine billion, five hundred fifty-six million, eight hundred thirty thousand, two hundred forty-one".