24008461424681 has 2 divisors, whose sum is σ = 24008461424682. Its totient is φ = 24008461424680.

The previous prime is 24008461424627. The next prime is 24008461424687. The reversal of 24008461424681 is 18642416480042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23978846112400 + 29615312281 = 4896820^2 + 172091^2 .

It is a cyclic number.

It is not a de Polignac number, because 24008461424681 - 2²⁶ = 24008394315817 is a prime.

It is a super-2 number, since 2×24008461424681² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (24008461424687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12004230712340 + 12004230712341.

It is an arithmetic number, because the mean of its divisors is an integer number (12004230712341).

Almost surely, 2^{24008461424681} is an apocalyptic number.

It is an amenable number.

24008461424681 is a deficient number, since it is larger than the sum of its proper divisors (1).

24008461424681 is an equidigital number, since it uses as much as digits as its factorization.

24008461424681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2359296, while the sum is 50.

The spelling of 24008461424681 in words is "twenty-four trillion, eight billion, four hundred sixty-one million, four hundred twenty-four thousand, six hundred eighty-one".