224787827616 has 96 divisors (see below), whose sum is σ = 644201885376. Its totient is φ = 68065536000.

The previous prime is 224787827609. The next prime is 224787827623. The reversal of 224787827616 is 616728787422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (224787827609) and next prime (224787827623).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×224787827616⁴ (a number of 47 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 224787827616.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1314406 + ... + 1475546.

It is an arithmetic number, because the mean of its divisors is an integer number (6710436306).

Almost surely, 2^224787827616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224787827616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322100942688).

224787827616 is an abundant number, since it is smaller than the sum of its proper divisors (419414057760).

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

224787827616 is a wasteful number, since it uses less digits than its factorization.

224787827616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162486 (or 162478 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 60.

The spelling of 224787827616 in words is "two hundred twenty-four billion, seven hundred eighty-seven million, eight hundred twenty-seven thousand, six hundred sixteen".