557991144 has 96 divisors (see below), whose sum is σ = 1553610240. Its totient is φ = 180835200.

The previous prime is 557991131. The next prime is 557991157. The reversal of 557991144 is 441199755.

557991144 is a `hidden beast` number, since 557 + 9 + 91 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (557991131) and next prime (557991157).

It is a super-2 number, since 2×557991144² = 622708233564857472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 557991144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612049 + ... + 612959.

It is an arithmetic number, because the mean of its divisors is an integer number (16183440).

Almost surely, 2^557991144 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 557991144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776805120).

557991144 is an abundant number, since it is smaller than the sum of its proper divisors (995619096).

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

557991144 is a wasteful number, since it uses less digits than its factorization.

557991144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1144 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 557991144 is about 23621.8361691042. The cubic root of 557991144 is about 823.2702756575.

The spelling of 557991144 in words is "five hundred fifty-seven million, nine hundred ninety-one thousand, one hundred forty-four".