224561004521646 has 128 divisors (see below), whose sum is σ = 501092066119680. Its totient is φ = 66623109120000.

The previous prime is 224561004521617. The next prime is 224561004521647. The reversal of 224561004521646 is 646125400165422.

It is a junction number, because it is equal to n+sod(n) for n = 224561004521595 and 224561004521604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224561004521647) 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, 10949378040 + ... + 10949398548.

It is an arithmetic number, because the mean of its divisors is an integer number (3914781766560).

Almost surely, 2^{224561004521646} is an apocalyptic number.

224561004521646 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 224561004521646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250546033059840).

224561004521646 is an abundant number, since it is smaller than the sum of its proper divisors (276531061598034).

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

224561004521646 is a wasteful number, since it uses less digits than its factorization.

224561004521646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36842.

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 224561004521646 in words is "two hundred twenty-four trillion, five hundred sixty-one billion, four million, five hundred twenty-one thousand, six hundred forty-six".