224282815680 has 896 divisors, whose sum is σ = 953902080000. Its totient is φ = 44137820160.

The previous prime is 224282815643. The next prime is 224282815703. The reversal of 224282815680 is 86518282422.

224282815680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68817891 + ... + 68821149.

Almost surely, 2^224282815680 is an apocalyptic number.

224282815680 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 224282815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476951040000).

224282815680 is an abundant number, since it is smaller than the sum of its proper divisors (729619264320).

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

224282815680 is a wasteful number, since it uses less digits than its factorization.

224282815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 224282815680 in words is "two hundred twenty-four billion, two hundred eighty-two million, eight hundred fifteen thousand, six hundred eighty".