224011111320 has 384 divisors, whose sum is σ = 775844784000. Its totient is φ = 55947386880.

The previous prime is 224011111319. The next prime is 224011111333. The reversal of 224011111320 is 23111110422.

224011111320 is a `hidden beast` number, since 22 + 401 + 111 + 132 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 224011111293 and 224011111302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169576260 + ... + 169577580.

It is an arithmetic number, because the mean of its divisors is an integer number (2020429125).

Almost surely, 2^224011111320 is an apocalyptic number.

224011111320 is a gapful number since it is divisible by the number (20) 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 224011111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387922392000).

224011111320 is an abundant number, since it is smaller than the sum of its proper divisors (551833672680).

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

224011111320 is a wasteful number, since it uses less digits than its factorization.

224011111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 224011111320 its reverse (23111110422), we get a palindrome (247122221742).

The spelling of 224011111320 in words is "two hundred twenty-four billion, eleven million, one hundred eleven thousand, three hundred twenty".