887165643168 has 768 divisors, whose sum is σ = 3192835968000. Its totient is φ = 234722230272.

The previous prime is 887165643163. The next prime is 887165643193. The reversal of 887165643168 is 861346561788.

887165643168 is a `hidden beast` number, since 8 + 8 + 7 + 1 + 6 + 564 + 3 + 1 + 68 = 666.

It is a super-2 number, since 2×887165643168² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (887165643163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2169108948 + ... + 2169109356.

It is an arithmetic number, because the mean of its divisors is an integer number (4157338500).

Almost surely, 2^887165643168 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 887165643168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596417984000).

887165643168 is an abundant number, since it is smaller than the sum of its proper divisors (2305670324832).

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

887165643168 is a wasteful number, since it uses less digits than its factorization.

887165643168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 511 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 887165643168 in words is "eight hundred eighty-seven billion, one hundred sixty-five million, six hundred forty-three thousand, one hundred sixty-eight".