224368063920 has 1620 divisors, whose sum is σ = 1046618668368. Its totient is φ = 42897254400.

The previous prime is 224368063877. The next prime is 224368063921. The reversal of 224368063920 is 29360863422.

It is a happy number.

224368063920 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 6 + 8 + 0 + 639 + 2 + 0 = 666.

224368063920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (224368063921) by changing a digit.

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 323 ways as a sum of consecutive naturals, for example, 721440565 + ... + 721440875.

Almost surely, 2^224368063920 is an apocalyptic number.

224368063920 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 224368063920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523309334184).

224368063920 is an abundant number, since it is smaller than the sum of its proper divisors (822250604448).

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

224368063920 is a wasteful number, since it uses less digits than its factorization.

224368063920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 224368063920 in words is "two hundred twenty-four billion, three hundred sixty-eight million, sixty-three thousand, nine hundred twenty".