556584634116 has 405 divisors, whose sum is σ = 1758142016631. Its totient is φ = 153088639200.

The previous prime is 556584634103. The next prime is 556584634121. The reversal of 556584634116 is 611436485655.

The square root of 556584634116 is 746046.

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

556584634116 is a `hidden beast` number, since 5 + 5 + 6 + 584 + 6 + 3 + 41 + 16 = 666.

It is a super-2 number, since 2×556584634116² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2914055581 + ... + 2914055771.

Almost surely, 2^556584634116 is an apocalyptic number.

556584634116 is the 746046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556584634116

556584634116 is an abundant number, since it is smaller than the sum of its proper divisors (1201557382515).

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

556584634116 is a wasteful number, since it uses less digits than its factorization.

556584634116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 234 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 556584634116 in words is "five hundred fifty-six billion, five hundred eighty-four million, six hundred thirty-four thousand, one hundred sixteen".