556461171216 has 160 divisors (see below), whose sum is σ = 1682194416000. Its totient is φ = 175632717312.

The previous prime is 556461171187. The next prime is 556461171223. The reversal of 556461171216 is 612171164655.

556461171216 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 611 + 7 + 1 + 21 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16637326 + ... + 16670738.

It is an arithmetic number, because the mean of its divisors is an integer number (10513715100).

Almost surely, 2^556461171216 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 556461171216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841097208000).

556461171216 is an abundant number, since it is smaller than the sum of its proper divisors (1125733244784).

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

556461171216 is a wasteful number, since it uses less digits than its factorization.

556461171216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35478 (or 35466 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 556461171216 in words is "five hundred fifty-six billion, four hundred sixty-one million, one hundred seventy-one thousand, two hundred sixteen".