10949718026688 has 448 divisors, whose sum is σ = 34208913251328. Its totient is φ = 3026487214080.

The previous prime is 10949718026683. The next prime is 10949718026693. The reversal of 10949718026688 is 88662081794901.

10949718026688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10949718026683) and next prime (10949718026693).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10949718026688² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10949718026683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4817296720 + ... + 4817298992.

Almost surely, 2^{10949718026688} 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 10949718026688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17104456625664).

10949718026688 is an abundant number, since it is smaller than the sum of its proper divisors (23259195224640).

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

10949718026688 is a wasteful number, since it uses less digits than its factorization.

10949718026688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 69.

The spelling of 10949718026688 in words is "ten trillion, nine hundred forty-nine billion, seven hundred eighteen million, twenty-six thousand, six hundred eighty-eight".