111295067748648 has 256 divisors, whose sum is σ = 329023834030080. Its totient is φ = 30710534400000.

The previous prime is 111295067748569. The next prime is 111295067748659. The reversal of 111295067748648 is 846847760592111.

111295067748648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111295067748648² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5698370643 + ... + 5698390173.

It is an arithmetic number, because the mean of its divisors is an integer number (1285249351680).

Almost surely, 2^{111295067748648} 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 111295067748648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164511917015040).

111295067748648 is an abundant number, since it is smaller than the sum of its proper divisors (217728766281432).

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

111295067748648 is a wasteful number, since it uses less digits than its factorization.

111295067748648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27880 (or 27876 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 69.

The spelling of 111295067748648 in words is "one hundred eleven trillion, two hundred ninety-five billion, sixty-seven million, seven hundred forty-eight thousand, six hundred forty-eight".