10944948768 has 192 divisors, whose sum is σ = 31624992000. Its totient is φ = 3293982720.

The previous prime is 10944948767. The next prime is 10944948779. The reversal of 10944948768 is 86784944901.

It is a super-3 number, since 3×10944948768³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10944948761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13202178 + ... + 13203006.

It is an arithmetic number, because the mean of its divisors is an integer number (164713500).

Almost surely, 2^10944948768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10944948768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15812496000).

10944948768 is an abundant number, since it is smaller than the sum of its proper divisors (20680043232).

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

10944948768 is a wasteful number, since it uses less digits than its factorization.

10944948768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 10944948768 in words is "ten billion, nine hundred forty-four million, nine hundred forty-eight thousand, seven hundred sixty-eight".