224265525562422 has 256 divisors, whose sum is σ = 547080077617920. Its totient is φ = 67808400113664.

The previous prime is 224265525562387. The next prime is 224265525562487.

224265525562422 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 6 + 5 + 5 + 2 + 5 + 5 + 624 + 2 + 2 = 666.

224265525562422 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6497984238 + ... + 6498018750.

It is an arithmetic number, because the mean of its divisors is an integer number (2137031553195).

Almost surely, 2^{224265525562422} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224265525562422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273540038808960).

224265525562422 is an abundant number, since it is smaller than the sum of its proper divisors (322814552055498).

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

224265525562422 is a wasteful number, since it uses less digits than its factorization.

224265525562422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36384 (or 36378 counting only the distinct ones).

The product of its digits is 46080000, while the sum is 54.

The spelling of 224265525562422 in words is "two hundred twenty-four trillion, two hundred sixty-five billion, five hundred twenty-five million, five hundred sixty-two thousand, four hundred twenty-two".