557346667332 has 192 divisors, whose sum is σ = 1637627629568. Its totient is φ = 143622720000.

The previous prime is 557346667321. The next prime is 557346667333. The reversal of 557346667332 is 233766643755.

It is not an unprimeable number, because it can be changed into a prime (557346667333) 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 63 ways as a sum of consecutive naturals, for example, 10030707 + ... + 10086117.

Almost surely, 2^557346667332 is an apocalyptic number.

557346667332 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557346667332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818813814784).

557346667332 is an abundant number, since it is smaller than the sum of its proper divisors (1080280962236).

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

557346667332 is a wasteful number, since it uses less digits than its factorization.

557346667332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55650 (or 55648 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 57.

The spelling of 557346667332 in words is "five hundred fifty-seven billion, three hundred forty-six million, six hundred sixty-seven thousand, three hundred thirty-two".