224866404876072 has 256 divisors, whose sum is σ = 596879605969920. Its totient is φ = 70497113702400.

The previous prime is 224866404875993. The next prime is 224866404876073. The reversal of 224866404876072 is 270678404668422.

224866404876072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 224866404875994 and 224866404876012.

It is not an unprimeable number, because it can be changed into a prime (224866404876073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14938304098 + ... + 14938319150.

It is an arithmetic number, because the mean of its divisors is an integer number (2331560960820).

Almost surely, 2^{224866404876072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224866404876072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298439802984960).

224866404876072 is an abundant number, since it is smaller than the sum of its proper divisors (372013201093848).

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

224866404876072 is a wasteful number, since it uses less digits than its factorization.

224866404876072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18884 (or 18880 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 66.

The spelling of 224866404876072 in words is "two hundred twenty-four trillion, eight hundred sixty-six billion, four hundred four million, eight hundred seventy-six thousand, seventy-two".