561117451392 has 192 divisors, whose sum is σ = 1625106483000. Its totient is φ = 185833439232.

The previous prime is 561117451387. The next prime is 561117451421. The reversal of 561117451392 is 293154711165.

561117451392 is a `hidden beast` number, since 5 + 61 + 1 + 1 + 74 + 513 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 561096876096 + 20575296 = 749064^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238063078 + ... + 238065434.

Almost surely, 2^561117451392 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 561117451392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812553241500).

561117451392 is an abundant number, since it is smaller than the sum of its proper divisors (1063989031608).

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

561117451392 is a wasteful number, since it uses less digits than its factorization.

561117451392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3608 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The spelling of 561117451392 in words is "five hundred sixty-one billion, one hundred seventeen million, four hundred fifty-one thousand, three hundred ninety-two".