24829250329 has 81 divisors (see below), whose sum is σ = 30850616349. Its totient is φ = 19967650560.

The previous prime is 24829250317. The next prime is 24829250339. The reversal of 24829250329 is 92305292842.

The square root of 24829250329 is 157573.

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 224190729 + 24605059600 = 14973^2 + 156860^2 .

It is not a de Polignac number, because 24829250329 - 2¹⁵ = 24829217561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24829250339) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 800943544 + ... + 800943574.

Almost surely, 2^24829250329 is an apocalyptic number.

24829250329 is the 157573-rd square number.

24829250329 is the 78787-th centered octagonal number.

It is an amenable number.

24829250329 is a deficient number, since it is larger than the sum of its proper divisors (6021366020).

24829250329 is a wasteful number, since it uses less digits than its factorization.

24829250329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 24829250329 in words is "twenty-four billion, eight hundred twenty-nine million, two hundred fifty thousand, three hundred twenty-nine".