111648768 has 224 divisors, whose sum is σ = 377464320. Its totient is φ = 28508160.

The previous prime is 111648743. The next prime is 111648787. The reversal of 111648768 is 867846111.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1892323 + ... + 1892381.

Almost surely, 2^111648768 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 111648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188732160).

111648768 is an abundant number, since it is smaller than the sum of its proper divisors (265815552).

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

111648768 is an equidigital number, since it uses as much as digits as its factorization.

111648768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 111648768 is about 10566.3980617806. The cubic root of 111648768 is about 481.5240447831.

The spelling of 111648768 in words is "one hundred eleven million, six hundred forty-eight thousand, seven hundred sixty-eight".