4456561344224 has 48 divisors (see below), whose sum is σ = 9596733189120. Its totient is φ = 2020364760960.

The previous prime is 4456561344223. The next prime is 4456561344259. The reversal of 4456561344224 is 4224431656544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4456561344223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16569344 + ... + 16836159.

It is an arithmetic number, because the mean of its divisors is an integer number (199931941440).

Almost surely, 2^{4456561344224} is an apocalyptic number.

4456561344224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4456561344224 is an abundant number, since it is smaller than the sum of its proper divisors (5140171844896).

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

4456561344224 is a wasteful number, since it uses less digits than its factorization.

4456561344224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33405903 (or 33405895 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 50.

The spelling of 4456561344224 in words is "four trillion, four hundred fifty-six billion, five hundred sixty-one million, three hundred forty-four thousand, two hundred twenty-four".