24768779161 has 9 divisors (see below), whose sum is σ = 28813943061. Its totient is φ = 21229437852.

The previous prime is 24768779159. The next prime is 24768779177. The reversal of 24768779161 is 16197786742.

It is a happy number.

The square root of 24768779161 is 157381.

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

It is not a de Polignac number, because 24768779161 - 2¹ = 24768779159 is a prime.

It is a super-2 number, since 2×24768779161² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 24768779096 and 24768779105.

It is not an unprimeable number, because it can be changed into a prime (24768779141) 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, 1090426 + ... + 1112908.

It is an arithmetic number, because the mean of its divisors is an integer number (3201549229).

Almost surely, 2^24768779161 is an apocalyptic number.

24768779161 is the 157381-st square number.

24768779161 is the 78691-st centered octagonal number.

It is an amenable number.

24768779161 is a deficient number, since it is larger than the sum of its proper divisors (4045163900).

24768779161 is an frugal number, since it uses more digits than its factorization.

24768779161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44980 (or 22490 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 58.

The spelling of 24768779161 in words is "twenty-four billion, seven hundred sixty-eight million, seven hundred seventy-nine thousand, one hundred sixty-one".