557148816 has 135 divisors (see below), whose sum is σ = 1820290953. Its totient is φ = 158618880.

The previous prime is 557148793. The next prime is 557148817. The reversal of 557148816 is 618841755.

557148816 = T₁₇₃ + T₁₇₄ + ... + T₁₄₉₅.

The square root of 557148816 is 23604.

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

557148816 is a `hidden beast` number, since 557 + 1 + 4 + 88 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 376515216 + 180633600 = 19404^2 + 13440^2 .

It is not an unprimeable number, because it can be changed into a prime (557148817) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1982596 + ... + 1982876.

Almost surely, 2^557148816 is an apocalyptic number.

557148816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

557148816 is the 23604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557148816

557148816 is an abundant number, since it is smaller than the sum of its proper divisors (1263142137).

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

557148816 is a wasteful number, since it uses less digits than its factorization.

557148816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 293 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The cubic root of 557148816 is about 822.8558050160.

The spelling of 557148816 in words is "five hundred fifty-seven million, one hundred forty-eight thousand, eight hundred sixteen".