24532643641 has 27 divisors (see below), whose sum is σ = 27984541039. Its totient is φ = 21489498800.

The previous prime is 24532643623. The next prime is 24532643669. The reversal of 24532643641 is 14634623542.

The square root of 24532643641 is 156629.

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., 12864323241 + 11668320400 = 113421^2 + 108020^2 .

It is not a de Polignac number, because 24532643641 - 2⁹ = 24532643129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 24532643594 and 24532643603.

It is not an unprimeable number, because it can be changed into a prime (24532643141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49964406 + ... + 49964896.

Almost surely, 2^24532643641 is an apocalyptic number.

24532643641 is the 156629-th square number.

24532643641 is the 78315-th centered octagonal number.

It is an amenable number.

24532643641 is a deficient number, since it is larger than the sum of its proper divisors (3451897398).

24532643641 is an frugal number, since it uses more digits than its factorization.

24532643641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 531 counting only the distinct ones).

The product of its digits is 414720, while the sum is 40.

The spelling of 24532643641 in words is "twenty-four billion, five hundred thirty-two million, six hundred forty-three thousand, six hundred forty-one".