11102315347968 has 336 divisors, whose sum is σ = 32329008727680. Its totient is φ = 3368395210752.

The previous prime is 11102315347951. The next prime is 11102315347997. The reversal of 11102315347968 is 86974351320111.

It is a super-2 number, since 2×11102315347968² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11102315347968.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2985294013 + ... + 2985297731.

It is an arithmetic number, because the mean of its divisors is an integer number (96217287880).

It is a 1-persistent number, because it is pandigital, but 2⋅11102315347968 = 22204630695936 is not.

Almost surely, 2^{11102315347968} 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 11102315347968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16164504363840).

11102315347968 is an abundant number, since it is smaller than the sum of its proper divisors (21226693379712).

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

11102315347968 is an frugal number, since it uses more digits than its factorization.

11102315347968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 11102315347968 in words is "eleven trillion, one hundred two billion, three hundred fifteen million, three hundred forty-seven thousand, nine hundred sixty-eight".