224132324052000 has 3072 divisors, whose sum is σ = 1017760583024640. Its totient is φ = 41724149760000.

The previous prime is 224132324051969. The next prime is 224132324052071. The reversal of 224132324052000 is 250423231422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 34213448725 + ... + 34213455275.

It is an arithmetic number, because the mean of its divisors is an integer number (331302273120).

Almost surely, 2^{224132324052000} is an apocalyptic number.

224132324052000 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 224132324052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508880291512320).

224132324052000 is an abundant number, since it is smaller than the sum of its proper divisors (793628258972640).

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

224132324052000 is a wasteful number, since it uses less digits than its factorization.

224132324052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 224132324052000 its reverse (250423231422), we get a palindrome (224382747283422).

The spelling of 224132324052000 in words is "two hundred twenty-four trillion, one hundred thirty-two billion, three hundred twenty-four million, fifty-two thousand".