10484096668864 has 224 divisors, whose sum is σ = 26220954009600. Its totient is φ = 4049026375680.

The previous prime is 10484096668789. The next prime is 10484096668889. The reversal of 10484096668864 is 46886669048401.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 10484096668793 and 10484096668802.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 40820529 + ... + 41076559.

It is an arithmetic number, because the mean of its divisors is an integer number (117057830400).

Almost surely, 2^{10484096668864} is an apocalyptic number.

10484096668864 is a gapful number since it is divisible by the number (14) 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 10484096668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13110477004800).

10484096668864 is an abundant number, since it is smaller than the sum of its proper divisors (15736857340736).

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

10484096668864 is a wasteful number, since it uses less digits than its factorization.

10484096668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256231 (or 256221 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 70.

The spelling of 10484096668864 in words is "ten trillion, four hundred eighty-four billion, ninety-six million, six hundred sixty-eight thousand, eight hundred sixty-four".