561226945104 has 640 divisors, whose sum is σ = 2010042777600. Its totient is φ = 146283356160.

The previous prime is 561226945099. The next prime is 561226945117. The reversal of 561226945104 is 401549622165.

561226945104 is a `hidden beast` number, since 5 + 6 + 122 + 6 + 9 + 4 + 510 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 561226945104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 263362119 + ... + 263364249.

It is an arithmetic number, because the mean of its divisors is an integer number (3140691840).

Almost surely, 2^561226945104 is an apocalyptic number.

561226945104 is a gapful number since it is divisible by the number (54) 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 561226945104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005021388800).

561226945104 is an abundant number, since it is smaller than the sum of its proper divisors (1448815832496).

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

561226945104 is a wasteful number, since it uses less digits than its factorization.

561226945104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 561226945104 in words is "five hundred sixty-one billion, two hundred twenty-six million, nine hundred forty-five thousand, one hundred four".