224323044660000 has 2160 divisors, whose sum is σ = 956612715386328. Its totient is φ = 49505955840000.

The previous prime is 224323044659969. The next prime is 224323044660053. The reversal of 224323044660000 is 66440323422.

224323044660000 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 2 + 3 + 0 + 4 + 46 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 119591809126416 + 104731235533584 = 10935804^2 + 10233828^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 20669214574 + ... + 20669225426.

Almost surely, 2^{224323044660000} is an apocalyptic number.

224323044660000 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 224323044660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478306357693164).

224323044660000 is an abundant number, since it is smaller than the sum of its proper divisors (732289670726328).

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

224323044660000 is a wasteful number, since it uses less digits than its factorization.

224323044660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10997 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 224323044660000 its reverse (66440323422), we get a palindrome (224389484983422).

The spelling of 224323044660000 in words is "two hundred twenty-four trillion, three hundred twenty-three billion, forty-four million, six hundred sixty thousand".