10944318672 has 160 divisors (see below), whose sum is σ = 35957698560. Its totient is φ = 3122098560.

The previous prime is 10944318607. The next prime is 10944318727. The reversal of 10944318672 is 27681344901.

It is a super-2 number, since 2×10944318672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2244397 + ... + 2249267.

It is an arithmetic number, because the mean of its divisors is an integer number (224735616).

Almost surely, 2^10944318672 is an apocalyptic number.

10944318672 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 10944318672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978849280).

10944318672 is an abundant number, since it is smaller than the sum of its proper divisors (25013379888).

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

10944318672 is a wasteful number, since it uses less digits than its factorization.

10944318672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10944318672 in words is "ten billion, nine hundred forty-four million, three hundred eighteen thousand, six hundred seventy-two".