10844934912 has 576 divisors, whose sum is σ = 39558758400. Its totient is φ = 2861568000.

The previous prime is 10844934883. The next prime is 10844934923. The reversal of 10844934912 is 21943944801.

10844934912 is a `hidden beast` number, since 108 + 4 + 493 + 49 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10844934912² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 43206787 + ... + 43207037.

It is an arithmetic number, because the mean of its divisors is an integer number (68678400).

Almost surely, 2^10844934912 is an apocalyptic number.

10844934912 is a gapful number since it is divisible by the number (12) 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 10844934912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19779379200).

10844934912 is an abundant number, since it is smaller than the sum of its proper divisors (28713823488).

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

10844934912 is a wasteful number, since it uses less digits than its factorization.

10844934912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10844934912 in words is "ten billion, eight hundred forty-four million, nine hundred thirty-four thousand, nine hundred twelve".