10681074488448 has 1536 divisors, whose sum is σ = 41162920243200. Its totient is φ = 2664453242880.

The previous prime is 10681074488443. The next prime is 10681074488467. The reversal of 10681074488448 is 84488447018601.

10681074488448 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 107 + 4 + 4 + 88 + 448 = 666.

It is a super-2 number, since 2×10681074488448² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10681074488443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9121326903 + ... + 9121328073.

It is an arithmetic number, because the mean of its divisors is an integer number (26798776200).

Almost surely, 2^{10681074488448} is an apocalyptic number.

10681074488448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10681074488448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20581460121600).

10681074488448 is an abundant number, since it is smaller than the sum of its proper divisors (30481845754752).

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

10681074488448 is a wasteful number, since it uses less digits than its factorization.

10681074488448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

It can be divided in two parts, 1068107 and 4488448, that added together give a palindrome (5556555).

The spelling of 10681074488448 in words is "ten trillion, six hundred eighty-one billion, seventy-four million, four hundred eighty-eight thousand, four hundred forty-eight".