224947666944000 has 5120 divisors, whose sum is σ = 1125623955456000. Its totient is φ = 42807066624000.

The previous prime is 224947666943999. The next prime is 224947666944037. The reversal of 224947666944000 is 449666749422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (5120).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1771241471937 + ... + 1771241472063.

It is an arithmetic number, because the mean of its divisors is an integer number (219848428800).

Almost surely, 2^{224947666944000} is an apocalyptic number.

224947666944000 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 224947666944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562811977728000).

224947666944000 is an abundant number, since it is smaller than the sum of its proper divisors (900676288512000).

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

224947666944000 is an equidigital number, since it uses as much as digits as its factorization.

224947666944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 224947666944000 in words is "two hundred twenty-four trillion, nine hundred forty-seven billion, six hundred sixty-six million, nine hundred forty-four thousand".