10844703910656 has 432 divisors, whose sum is σ = 40327699426560. Its totient is φ = 2719673671680.

The previous prime is 10844703910591. The next prime is 10844703910657. The reversal of 10844703910656 is 65601930744801.

10844703910656 is a `hidden beast` number, since 1 + 0 + 84 + 470 + 3 + 91 + 0 + 6 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10844703910657) 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 in 47 ways as a sum of consecutive naturals, for example, 4090891 + ... + 6198773.

It is an arithmetic number, because the mean of its divisors is an integer number (93351156080).

Almost surely, 2^{10844703910656} is an apocalyptic number.

10844703910656 is a gapful number since it is divisible by the number (16) 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 10844703910656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20163849713280).

10844703910656 is an abundant number, since it is smaller than the sum of its proper divisors (29482995515904).

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

10844703910656 is a wasteful number, since it uses less digits than its factorization.

10844703910656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107952 (or 2107935 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10844703910656 in words is "ten trillion, eight hundred forty-four billion, seven hundred three million, nine hundred ten thousand, six hundred fifty-six".