5601643348608 has 192 divisors, whose sum is σ = 16464478403880. Its totient is φ = 1827407462400.

The previous prime is 5601643348519. The next prime is 5601643348657. The reversal of 5601643348608 is 8068433461065.

5601643348608 is a `hidden beast` number, since 560 + 1 + 6 + 4 + 33 + 48 + 6 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5569562240064 + 32081108544 = 2359992^2 + 179112^2 .

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, 24369060 + ... + 24597852.

Almost surely, 2^{5601643348608} 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 5601643348608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232239201940).

5601643348608 is an abundant number, since it is smaller than the sum of its proper divisors (10862835055272).

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

5601643348608 is a wasteful number, since it uses less digits than its factorization.

5601643348608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229267 (or 229252 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 5601643348608 in words is "five trillion, six hundred one billion, six hundred forty-three million, three hundred forty-eight thousand, six hundred eight".