24000414313093 has 2 divisors, whose sum is σ = 24000414313094. Its totient is φ = 24000414313092.

The previous prime is 24000414313087. The next prime is 24000414313103. The reversal of 24000414313093 is 39031341400042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17014156531684 + 6986257781409 = 4124822^2 + 2643153^2 .

It is a cyclic number.

It is not a de Polignac number, because 24000414313093 - 2¹³ = 24000414304901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (24000414317093) 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, 12000207156546 + 12000207156547.

It is an arithmetic number, because the mean of its divisors is an integer number (12000207156547).

Almost surely, 2^{24000414313093} is an apocalyptic number.

It is an amenable number.

24000414313093 is a deficient number, since it is larger than the sum of its proper divisors (1).

24000414313093 is an equidigital number, since it uses as much as digits as its factorization.

24000414313093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 24000414313093 in words is "twenty-four trillion, four hundred fourteen million, three hundred thirteen thousand, ninety-three".