561558416364 has 144 divisors (see below), whose sum is σ = 1587380820480. Its totient is φ = 165927976320.

The previous prime is 561558416329. The next prime is 561558416369. The reversal of 561558416364 is 463614855165.

561558416364 is a `hidden beast` number, since 5 + 6 + 15 + 584 + 16 + 36 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 561558416364.

It is not an unprimeable number, because it can be changed into a prime (561558416369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4950547 + ... + 5062709.

It is an arithmetic number, because the mean of its divisors is an integer number (11023477920).

Almost surely, 2^561558416364 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 561558416364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793690410240).

561558416364 is an abundant number, since it is smaller than the sum of its proper divisors (1025822404116).

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

561558416364 is a wasteful number, since it uses less digits than its factorization.

561558416364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112500 (or 112495 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 561558416364 in words is "five hundred sixty-one billion, five hundred fifty-eight million, four hundred sixteen thousand, three hundred sixty-four".