24768148961 has 2 divisors, whose sum is σ = 24768148962. Its totient is φ = 24768148960.

The previous prime is 24768148949. The next prime is 24768149017. The reversal of 24768148961 is 16984186742.

It is a happy number.

It is an a-pointer prime, because the next prime (24768149017) can be obtained adding 24768148961 to its sum of digits (56).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24698008336 + 70140625 = 157156^2 + 8375^2 .

It is a cyclic number.

It is not a de Polignac number, because 24768148961 - 2¹⁴ = 24768132577 is a prime.

It is a super-2 number, since 2×24768148961² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24768148897 and 24768148906.

It is not a weakly prime, because it can be changed into another prime (24768148921) 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 as a sum of consecutive naturals, namely, 12384074480 + 12384074481.

It is an arithmetic number, because the mean of its divisors is an integer number (12384074481).

Almost surely, 2^24768148961 is an apocalyptic number.

It is an amenable number.

24768148961 is a deficient number, since it is larger than the sum of its proper divisors (1).

24768148961 is an equidigital number, since it uses as much as digits as its factorization.

24768148961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4644864, while the sum is 56.

The spelling of 24768148961 in words is "twenty-four billion, seven hundred sixty-eight million, one hundred forty-eight thousand, nine hundred sixty-one".