557722188864 has 315 divisors, whose sum is σ = 1701661243737. Its totient is φ = 174645531648.

The previous prime is 557722188857. The next prime is 557722188871. The reversal of 557722188864 is 468881227755.

The square root of 557722188864 is 746808.

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

557722188864 is a `hidden beast` number, since 557 + 7 + 2 + 2 + 18 + 8 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (557722188857) and next prime (557722188871).

It can be written as a sum of positive squares in 7 ways, for example, as 43047950400 + 514674238464 = 207480^2 + 717408^2 .

It is a super-2 number, since 2×557722188864² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 15073572654 + ... + 15073572690.

Almost surely, 2^557722188864 is an apocalyptic number.

557722188864 is the 746808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557722188864

557722188864 is an abundant number, since it is smaller than the sum of its proper divisors (1143939054873).

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

557722188864 is an frugal number, since it uses more digits than its factorization.

557722188864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 71 counting only the distinct ones).

The product of its digits is 60211200, while the sum is 63.

The spelling of 557722188864 in words is "five hundred fifty-seven billion, seven hundred twenty-two million, one hundred eighty-eight thousand, eight hundred sixty-four".