4317117668556 has 384 divisors, whose sum is σ = 13373565370368. Its totient is φ = 1051408512000.

The previous prime is 4317117668551. The next prime is 4317117668561. The reversal of 4317117668556 is 6558667117134.

It is an interprime number because it is at equal distance from previous prime (4317117668551) and next prime (4317117668561).

It is a super-2 number, since 2×4317117668556² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4317117668556.

It is not an unprimeable number, because it can be changed into a prime (4317117668551) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117049590 + ... + 117086466.

It is an arithmetic number, because the mean of its divisors is an integer number (34826993152).

Almost surely, 2^{4317117668556} 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 4317117668556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686782685184).

4317117668556 is an abundant number, since it is smaller than the sum of its proper divisors (9056447701812).

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

4317117668556 is a wasteful number, since it uses less digits than its factorization.

4317117668556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37061 (or 37059 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 60.

The spelling of 4317117668556 in words is "four trillion, three hundred seventeen billion, one hundred seventeen million, six hundred sixty-eight thousand, five hundred fifty-six".