561341257224 has 192 divisors, whose sum is σ = 1624842912000. Its totient is φ = 161038627200.

The previous prime is 561341257187. The next prime is 561341257231. The reversal of 561341257224 is 422752143165.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110956407 + ... + 110961465.

It is an arithmetic number, because the mean of its divisors is an integer number (8462723500).

Almost surely, 2^561341257224 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 561341257224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812421456000).

561341257224 is an abundant number, since it is smaller than the sum of its proper divisors (1063501654776).

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

561341257224 is a wasteful number, since it uses less digits than its factorization.

561341257224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7120 (or 7105 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The spelling of 561341257224 in words is "five hundred sixty-one billion, three hundred forty-one million, two hundred fifty-seven thousand, two hundred twenty-four".