10408816118801 has 2 divisors, whose sum is σ = 10408816118802. Its totient is φ = 10408816118800.

The previous prime is 10408816118773. The next prime is 10408816118851. The reversal of 10408816118801 is 10881161880401.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5457835112401 + 4950981006400 = 2336201^2 + 2225080^2 .

It is a cyclic number.

It is not a de Polignac number, because 10408816118801 - 2³⁸ = 10133938211857 is a prime.

It is a super-3 number, since 3×10408816118801³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10408816118851) 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, 5204408059400 + 5204408059401.

It is an arithmetic number, because the mean of its divisors is an integer number (5204408059401).

Almost surely, 2^{10408816118801} is an apocalyptic number.

It is an amenable number.

10408816118801 is a deficient number, since it is larger than the sum of its proper divisors (1).

10408816118801 is an equidigital number, since it uses as much as digits as its factorization.

10408816118801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98304, while the sum is 47.

The spelling of 10408816118801 in words is "ten trillion, four hundred eight billion, eight hundred sixteen million, one hundred eighteen thousand, eight hundred one".