556268413199616 has 1152 divisors, whose sum is σ = 1884991320576000. Its totient is φ = 160504929091584.

The previous prime is 556268413199573. The next prime is 556268413199641. The reversal of 556268413199616 is 616991314862655.

556268413199616 is a `hidden beast` number, since 5 + 5 + 6 + 2 + 6 + 8 + 413 + 199 + 6 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46213204350 + ... + 46213216386.

It is an arithmetic number, because the mean of its divisors is an integer number (1636277188000).

Almost surely, 2^{556268413199616} 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 556268413199616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942495660288000).

556268413199616 is an abundant number, since it is smaller than the sum of its proper divisors (1328722907376384).

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

556268413199616 is a wasteful number, since it uses less digits than its factorization.

556268413199616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12536 (or 12516 counting only the distinct ones).

The product of its digits is 503884800, while the sum is 72.

The spelling of 556268413199616 in words is "five hundred fifty-six trillion, two hundred sixty-eight billion, four hundred thirteen million, one hundred ninety-nine thousand, six hundred sixteen".