557163261648 has 240 divisors, whose sum is σ = 1882523260800. Its totient is φ = 150272962560.

The previous prime is 557163261643. The next prime is 557163261689. The reversal of 557163261648 is 846162361755.

It is a happy number.

557163261648 is a `hidden beast` number, since 5 + 5 + 7 + 16 + 3 + 2 + 616 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 557163261594 and 557163261603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557163261643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5329948 + ... + 5433476.

It is an arithmetic number, because the mean of its divisors is an integer number (7843846920).

Almost surely, 2^557163261648 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 557163261648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941261630400).

557163261648 is an abundant number, since it is smaller than the sum of its proper divisors (1325359999152).

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

557163261648 is a wasteful number, since it uses less digits than its factorization.

557163261648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103850 (or 103841 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 557163261648 in words is "five hundred fifty-seven billion, one hundred sixty-three million, two hundred sixty-one thousand, six hundred forty-eight".