4163468560992 has 480 divisors, whose sum is σ = 13497778502208. Its totient is φ = 1251175071744.

The previous prime is 4163468560963. The next prime is 4163468561041. The reversal of 4163468560992 is 2990658643614.

4163468560992 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 4 + 68 + 560 + 9 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 253352008 + ... + 253368440.

Almost surely, 2^{4163468560992} 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 4163468560992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748889251104).

4163468560992 is an abundant number, since it is smaller than the sum of its proper divisors (9334309941216).

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

4163468560992 is a wasteful number, since it uses less digits than its factorization.

4163468560992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16644 (or 16627 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 4163468560992 in words is "four trillion, one hundred sixty-three billion, four hundred sixty-eight million, five hundred sixty thousand, nine hundred ninety-two".