4287113607168 has 864 divisors, whose sum is σ = 15652623168000. Its totient is φ = 1122849423360.

The previous prime is 4287113607163. The next prime is 4287113607181. The reversal of 4287113607168 is 8617063117824.

4287113607168 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 1 + 13 + 607 + 16 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4287113607163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 531961923 + ... + 531969981.

It is an arithmetic number, because the mean of its divisors is an integer number (18116462000).

Almost surely, 2^{4287113607168} is an apocalyptic number.

4287113607168 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 4287113607168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826311584000).

4287113607168 is an abundant number, since it is smaller than the sum of its proper divisors (11365509560832).

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

4287113607168 is a wasteful number, since it uses less digits than its factorization.

4287113607168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 4287113607168 in words is "four trillion, two hundred eighty-seven billion, one hundred thirteen million, six hundred seven thousand, one hundred sixty-eight".