557456673312 has 576 divisors, whose sum is σ = 2105117973504. Its totient is φ = 140874992640.

The previous prime is 557456673281. The next prime is 557456673331. The reversal of 557456673312 is 213376654755.

557456673312 is a `hidden beast` number, since 5 + 5 + 7 + 4 + 566 + 73 + 3 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22141243 + ... + 22166405.

It is an arithmetic number, because the mean of its divisors is an integer number (3654718704).

Almost surely, 2^557456673312 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 557456673312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052558986752).

557456673312 is an abundant number, since it is smaller than the sum of its proper divisors (1547661300192).

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

557456673312 is a wasteful number, since it uses less digits than its factorization.

557456673312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25243 (or 25223 counting only the distinct ones).

The product of its digits is 15876000, while the sum is 54.

The spelling of 557456673312 in words is "five hundred fifty-seven billion, four hundred fifty-six million, six hundred seventy-three thousand, three hundred twelve".