11120953710648 has 256 divisors, whose sum is σ = 30718658880000. Its totient is φ = 3342323865600.

The previous prime is 11120953710641. The next prime is 11120953710653. The reversal of 11120953710648 is 84601735902111.

11120953710648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11120953710648³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11120953710597 and 11120953710606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120953710641) 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, 186253903 + ... + 186313601.

It is an arithmetic number, because the mean of its divisors is an integer number (119994761250).

It is a 1-persistent number, because it is pandigital, but 2⋅11120953710648 = 22241907421296 is not.

Almost surely, 2^{11120953710648} 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 11120953710648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15359329440000).

11120953710648 is an abundant number, since it is smaller than the sum of its proper divisors (19597705169352).

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

11120953710648 is a wasteful number, since it uses less digits than its factorization.

11120953710648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60006 (or 60002 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 11120953710648 in words is "eleven trillion, one hundred twenty billion, nine hundred fifty-three million, seven hundred ten thousand, six hundred forty-eight".