10824686401 has 2 divisors, whose sum is σ = 10824686402. Its totient is φ = 10824686400.

The previous prime is 10824686393. The next prime is 10824686407. The reversal of 10824686401 is 10468642801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10650446401 + 174240000 = 103201^2 + 13200^2 .

It is an emirp because it is prime and its reverse (10468642801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10824686401 - 2³ = 10824686393 is a prime.

It is not a weakly prime, because it can be changed into another prime (10824686407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5412343200 + 5412343201.

It is an arithmetic number, because the mean of its divisors is an integer number (5412343201).

Almost surely, 2^10824686401 is an apocalyptic number.

It is an amenable number.

10824686401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10824686401 is an equidigital number, since it uses as much as digits as its factorization.

10824686401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 40.

It can be divided in two parts, 10824 and 686401, that added together give a square (697225 = 835²).

The spelling of 10824686401 in words is "ten billion, eight hundred twenty-four million, six hundred eighty-six thousand, four hundred one".