224861616000 has 2048 divisors, whose sum is σ = 1022848819200. Its totient is φ = 47443968000.

The previous prime is 224861615987. The next prime is 224861616013. The reversal of 224861616000 is 616168422.

224861616000 is a `hidden beast` number, since 2 + 2 + 48 + 6 + 1 + 6 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (224861615987) and next prime (224861616013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3686255970 + ... + 3686256030.

It is an arithmetic number, because the mean of its divisors is an integer number (499437900).

Almost surely, 2^224861616000 is an apocalyptic number.

224861616000 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 224861616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511424409600).

224861616000 is an abundant number, since it is smaller than the sum of its proper divisors (797987203200).

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

224861616000 is a wasteful number, since it uses less digits than its factorization.

224861616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 224861616000 in words is "two hundred twenty-four billion, eight hundred sixty-one million, six hundred sixteen thousand".