24287545838401 has 2 divisors, whose sum is σ = 24287545838402. Its totient is φ = 24287545838400.

The previous prime is 24287545838393. The next prime is 24287545838407. The reversal of 24287545838401 is 10483854578242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21744315086400 + 2543230752001 = 4663080^2 + 1594751^2 .

It is a cyclic number.

It is not a de Polignac number, because 24287545838401 - 2³ = 24287545838393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 24287545838401.

It is not a weakly prime, because it can be changed into another prime (24287545838407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12143772919200 + 12143772919201.

It is an arithmetic number, because the mean of its divisors is an integer number (12143772919201).

Almost surely, 2^{24287545838401} is an apocalyptic number.

It is an amenable number.

24287545838401 is a deficient number, since it is larger than the sum of its proper divisors (1).

24287545838401 is an equidigital number, since it uses as much as digits as its factorization.

24287545838401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68812800, while the sum is 61.

The spelling of 24287545838401 in words is "twenty-four trillion, two hundred eighty-seven billion, five hundred forty-five million, eight hundred thirty-eight thousand, four hundred one".