224141998080 has 1536 divisors, whose sum is σ = 993832519680. Its totient is φ = 41617981440.

The previous prime is 224141998063. The next prime is 224141998081. The reversal of 224141998080 is 80899141422.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224141998081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1137776542 + ... + 1137776738.

It is an arithmetic number, because the mean of its divisors is an integer number (647026380).

Almost surely, 2^224141998080 is an apocalyptic number.

224141998080 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 224141998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496916259840).

224141998080 is an abundant number, since it is smaller than the sum of its proper divisors (769690521600).

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

224141998080 is a wasteful number, since it uses less digits than its factorization.

224141998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

It can be divided in two parts, 224141 and 998080, that added together give a palindrome (1222221).

The spelling of 224141998080 in words is "two hundred twenty-four billion, one hundred forty-one million, nine hundred ninety-eight thousand, eighty".