556418991744 has 768 divisors, whose sum is σ = 2057429237760. Its totient is φ = 141321185280.

The previous prime is 556418991743. The next prime is 556418991749. The reversal of 556418991744 is 447199814655.

556418991744 is a `hidden beast` number, since 5 + 564 + 18 + 9 + 9 + 17 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (556418991743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 504459097 + ... + 504460199.

It is an arithmetic number, because the mean of its divisors is an integer number (2678944320).

Almost surely, 2^556418991744 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 556418991744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028714618880).

556418991744 is an abundant number, since it is smaller than the sum of its proper divisors (1501010246016).

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

556418991744 is a wasteful number, since it uses less digits than its factorization.

556418991744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1173 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 556418991744 in words is "five hundred fifty-six billion, four hundred eighteen million, nine hundred ninety-one thousand, seven hundred forty-four".