10681076448 has 144 divisors (see below), whose sum is σ = 36239510160. Its totient is φ = 3051724032.

The previous prime is 10681076437. The next prime is 10681076453. The reversal of 10681076448 is 84467018601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10681076448² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83811 + ... + 168482.

It is an arithmetic number, because the mean of its divisors is an integer number (251663265).

Almost surely, 2^10681076448 is an apocalyptic number.

10681076448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10681076448 is an abundant number, since it is smaller than the sum of its proper divisors (25558433712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10681076448 is a wasteful number, since it uses less digits than its factorization.

10681076448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252326 (or 252305 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10681076448 in words is "ten billion, six hundred eighty-one million, seventy-six thousand, four hundred forty-eight".