10774681344 has 432 divisors, whose sum is σ = 38377735200. Its totient is φ = 2969616384.

The previous prime is 10774681343. The next prime is 10774681391. The reversal of 10774681344 is 44318647701.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 10774681344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10774681343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9821404 + ... + 9822500.

It is an arithmetic number, because the mean of its divisors is an integer number (88837350).

Almost surely, 2^10774681344 is an apocalyptic number.

10774681344 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 10774681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19188867600).

10774681344 is an abundant number, since it is smaller than the sum of its proper divisors (27603053856).

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

10774681344 is a wasteful number, since it uses less digits than its factorization.

10774681344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10774681344 in words is "ten billion, seven hundred seventy-four million, six hundred eighty-one thousand, three hundred forty-four".