24855729649 has 9 divisors (see below), whose sum is σ = 25551658881. Its totient is φ = 24178277520.

The previous prime is 24855729641. The next prime is 24855729667. The reversal of 24855729649 is 94692755842.

The square root of 24855729649 is 157657.

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 18838935025 + 6016794624 = 137255^2 + 77568^2 .

It is not a de Polignac number, because 24855729649 - 2³ = 24855729641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24855729641) 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, 5831179 + ... + 5835439.

It is an arithmetic number, because the mean of its divisors is an integer number (2839073209).

Almost surely, 2^24855729649 is an apocalyptic number.

24855729649 is the 157657-th square number.

24855729649 is the 78829-th centered octagonal number.

It is an amenable number.

24855729649 is a deficient number, since it is larger than the sum of its proper divisors (695929232).

24855729649 is an frugal number, since it uses more digits than its factorization.

24855729649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8596 (or 4298 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 61.

The spelling of 24855729649 in words is "twenty-four billion, eight hundred fifty-five million, seven hundred twenty-nine thousand, six hundred forty-nine".