5561172218448 has 640 divisors, whose sum is σ = 20573083238400. Its totient is φ = 1395847987200.

The previous prime is 5561172218447. The next prime is 5561172218461. The reversal of 5561172218448 is 8448122711655.

5561172218448 is a `hidden beast` number, since 5 + 5 + 6 + 1 + 172 + 21 + 8 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5561172218394 and 5561172218403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5561172218447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 792976990 + ... + 792984002.

It is an arithmetic number, because the mean of its divisors is an integer number (32145442560).

Almost surely, 2^{5561172218448} 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 5561172218448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10286541619200).

5561172218448 is an abundant number, since it is smaller than the sum of its proper divisors (15011911019952).

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

5561172218448 is a wasteful number, since it uses less digits than its factorization.

5561172218448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848 (or 7836 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The spelling of 5561172218448 in words is "five trillion, five hundred sixty-one billion, one hundred seventy-two million, two hundred eighteen thousand, four hundred forty-eight".