224613564000 has 384 divisors, whose sum is σ = 858860900352. Its totient is φ = 50247014400.

The previous prime is 224613563963. The next prime is 224613564011. The reversal of 224613564000 is 465316422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3919554 + ... + 3976446.

It is an arithmetic number, because the mean of its divisors is an integer number (2236616928).

Almost surely, 2^224613564000 is an apocalyptic number.

224613564000 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 224613564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429430450176).

224613564000 is an abundant number, since it is smaller than the sum of its proper divisors (634247336352).

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

224613564000 is a wasteful number, since it uses less digits than its factorization.

224613564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56975 (or 56957 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 224613564000 in words is "two hundred twenty-four billion, six hundred thirteen million, five hundred sixty-four thousand".