224374228416 has 896 divisors, whose sum is σ = 769051852800. Its totient is φ = 63646248960.

The previous prime is 224374228409. The next prime is 224374228511. The reversal of 224374228416 is 614822473422.

224374228416 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 7 + 4 + 228 + 416 = 666.

224374228416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1766726145 + ... + 1766726271.

It is an arithmetic number, because the mean of its divisors is an integer number (858316800).

Almost surely, 2^224374228416 is an apocalyptic number.

224374228416 is a gapful number since it is divisible by the number (26) 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 224374228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384525926400).

224374228416 is an abundant number, since it is smaller than the sum of its proper divisors (544677624384).

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

224374228416 is a wasteful number, since it uses less digits than its factorization.

224374228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 278 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 224374228416 in words is "two hundred twenty-four billion, three hundred seventy-four million, two hundred twenty-eight thousand, four hundred sixteen".