557848263168 has 400 divisors, whose sum is σ = 1926481191360. Its totient is φ = 159385218048.

The previous prime is 557848263151. The next prime is 557848263179. The reversal of 557848263168 is 861362848755.

The cubic root of 557848263168 is 8232.

It is a perfect power (a cube), and thus also a powerful number.

557848263168 is a `hidden beast` number, since 5 + 578 + 4 + 8 + 26 + 31 + 6 + 8 = 666.

It is a super-2 number, since 2×557848263168² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (77414400) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79692609021 + ... + 79692609027.

Almost surely, 2^557848263168 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 557848263168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963240595680).

557848263168 is an abundant number, since it is smaller than the sum of its proper divisors (1368632928192).

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

557848263168 is an frugal number, since it uses more digits than its factorization.

557848263168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 12 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 557848263168 in words is "five hundred fifty-seven billion, eight hundred forty-eight million, two hundred sixty-three thousand, one hundred sixty-eight".