561334425696 has 288 divisors, whose sum is σ = 1771244931456. Its totient is φ = 167212032000.

The previous prime is 561334425671. The next prime is 561334425697. The reversal of 561334425696 is 696524433165.

561334425696 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 34 + 42 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561334425697) 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, 44399536 + ... + 44412176.

It is an arithmetic number, because the mean of its divisors is an integer number (6150156012).

Almost surely, 2^561334425696 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 561334425696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885622465728).

561334425696 is an abundant number, since it is smaller than the sum of its proper divisors (1209910505760).

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

561334425696 is a wasteful number, since it uses less digits than its factorization.

561334425696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12906 (or 12895 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 561334425696 in words is "five hundred sixty-one billion, three hundred thirty-four million, four hundred twenty-five thousand, six hundred ninety-six".