561846348 has 192 divisors, whose sum is σ = 1760640000. Its totient is φ = 154695744.

The previous prime is 561846343. The next prime is 561846361. The reversal of 561846348 is 843648165.

561846348 is a `hidden beast` number, since 5 + 6 + 1 + 8 + 4 + 634 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561846343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1074015 + ... + 1074537.

It is an arithmetic number, because the mean of its divisors is an integer number (9170000).

Almost surely, 2^561846348 is an apocalyptic number.

561846348 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561846348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880320000).

561846348 is an abundant number, since it is smaller than the sum of its proper divisors (1198793652).

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

561846348 is a wasteful number, since it uses less digits than its factorization.

561846348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 564 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 561846348 is about 23703.2982515092. The cubic root of 561846348 is about 825.1619384591.

The spelling of 561846348 in words is "five hundred sixty-one million, eight hundred forty-six thousand, three hundred forty-eight".