4163947527168 has 704 divisors, whose sum is σ = 14663175206400. Its totient is φ = 1150616862720.

The previous prime is 4163947527151. The next prime is 4163947527197. The reversal of 4163947527168 is 8617257493614.

4163947527168 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 9 + 47 + 527 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328147768 + ... + 328160456.

Almost surely, 2^{4163947527168} is an apocalyptic number.

4163947527168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4163947527168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7331587603200).

4163947527168 is an abundant number, since it is smaller than the sum of its proper divisors (10499227679232).

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

4163947527168 is a wasteful number, since it uses less digits than its factorization.

4163947527168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12825 (or 12801 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 4163947527168 in words is "four trillion, one hundred sixty-three billion, nine hundred forty-seven million, five hundred twenty-seven thousand, one hundred sixty-eight".