111814848 has 168 divisors, whose sum is σ = 357804720. Its totient is φ = 33177600.

The previous prime is 111814841. The next prime is 111814849. The reversal of 111814848 is 848418111.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (111814841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185748 + ... + 186348.

It is an arithmetic number, because the mean of its divisors is an integer number (2129790).

Almost surely, 2^111814848 is an apocalyptic number.

111814848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111814848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178902360).

111814848 is an abundant number, since it is smaller than the sum of its proper divisors (245989872).

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

111814848 is a wasteful number, since it uses less digits than its factorization.

111814848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 642 counting only the distinct ones).

The product of its digits is 8192, while the sum is 36.

The square root of 111814848 is about 10574.2540162415. The cubic root of 111814848 is about 481.7626856996.

The spelling of 111814848 in words is "one hundred eleven million, eight hundred fourteen thousand, eight hundred forty-eight".