10688816457 has 24 divisors (see below), whose sum is σ = 17466802080. Its totient is φ = 6478068960.

The previous prime is 10688816431. The next prime is 10688816459. The reversal of 10688816457 is 75461888601.

It is a happy number.

10688816457 is a `hidden beast` number, since 106 + 8 + 8 + 81 + 6 + 457 = 666.

10688816457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10688816457 - 2⁷ = 10688816329 is a prime.

It is a super-2 number, since 2×10688816457² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10688816459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1996732 + ... + 2002077.

It is an arithmetic number, because the mean of its divisors is an integer number (727783420).

Almost surely, 2^10688816457 is an apocalyptic number.

It is an amenable number.

10688816457 is a deficient number, since it is larger than the sum of its proper divisors (6777985623).

10688816457 is an equidigital number, since it uses as much as digits as its factorization.

10688816457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998835 (or 3998823 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 10688816457 in words is "ten billion, six hundred eighty-eight million, eight hundred sixteen thousand, four hundred fifty-seven".